OBJECTIVES OF LINES AND ANGLES

LINES AND ANGLES

SRINIVASA RAMANUJAN, MAN WHO KNEW INFINITY

TRUE OR FALSE

a) Pairs of vertically opposite angles is always equal
b) The sum of all the interior angles of a triangle is 360
c) If the sum of two adjacent angles is 45, then two adjacent angles are acute angles
d) If a line is perpendicular is one of two parallel lines, then it is also perpendicular to the other
e) Two lines are intersected by any transversal, and then their corresponding angles formed are equal
f) Can we have a triangle where all the interior angles are more than 60
g) Sum of two complimentary angles is equal to 90
h) Sum of all the exterior angles of any polygon is always equal to 360

Fill in the blanks 

1. Sum of two supplementary angles is ______
2. Two lines parallel to the same line is ____  each other
3. An acute angle is always less than _____
4. Angles forming a linear pair are ______
5. If one angle of triangle is equal to the sum of other two angles, then the triangle is_____
6. if two straight lines intersect ,the adjacent angles are ______
7. Two angles whose sum is equal to 360 are known as _________
8. The median of an equilateral triangles are ____________
9. Two angles whose sum is equal to 90 are known as _________
10. The angle comes from the latin word ___________, meaning a ____________
11. Cointerior angles are known as ________________ and _________________
12.   Two angles whose sum is equal to 180 are known as _________
13.  Two angles whose sum is equal to  360 are known as _________
14. COMPLETE TH TABLE
Angle                                          30 80 11 87
Complementary angle

       Supplementary angle

13. The median of an equilateral triangles are ____________
14. A triangle is  isosceles if and only iff two altitudes are ______
15. A triangle is  isosceles if and only if any two altitudes are ______
16. Lines which are parallel to the same line are ¬¬¬¬¬¬¬¬¬_____________ to each other.

MULTIPLE CHOICE QUESTION:

1. A pair of adjacent angles is called linear pair if the sum of two adjacent angles is?
a)180          b)90         c)270           d)360

2. An exterior angle of the triangle is 110. And its two opposite interior angles are in the ratio 3:4. What are the values of those angles?
a) 50,60             b) 25,30             c) 30,40           d) 40,48

3. If the ll lines are intersected by a transversal, then each pair of corresponding angles so formed is
a)  Equal        b) complementary          c) supplementary     d) none of these

4. An angle is 140 more than its complementary angle, then angle is
a) 30                      b) 53                   c) 50                  d) none of these

5. If the supplementary of an angle is three times its complement, then angle is
a) 40                      b) 35                   c) 50                 d) 45

6. An angle is 18 less than its complementary angle. Then measure of this angle is
a) 36                      b) 48                   c) 83                  d) 81

7. Supplement of an angle is one fourth to itself. The measure of the angle is :
a) 18                     b) 36                     c) 144               d) 81

MATCH THE FOLLOWING:

                    LIST-A                                      LIST-B
              P) corresponding angles             1) ∠1=∠7
                Q) alternate interior angles       2) ∠4+∠5=180
                R) alternate exterior angles       3) ∠1=∠5
               S) co-interior angles                  4) ∠4=∠6

 CODE:        
               P      Q       R      S
a)        4         1        2      3
b)        3         2        4      1
c)        4         2        1      3
d)           3         4        1      2

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OBJECTIVES OF POLYNOMIAL, CLASS: IX

POLYNOMIAL

FATHER OF MODERN MATHEMATICS RENE DESCARTES

FILL IN THE BLANKS

1.The word polynomial comes from ________________

2.The word polynomial was introduced in latin by _______________________

3.Polynomial with one term is known as_______________

4.Polynomial with two term is known as_______________

5.Polynomial with three term is known as______________

6.Polynomial with four term is known as_______________

7.Polynomial with five term is known as _______________

8.Polynomial of degree 1 is known as _________________

9.Polynomial of degree 2 is known as _________________

10.Polynomial of degree 3 is known as _________________

11.Polynomial of degree 4 is known as ___________________ polynomial

12.Polynomial of degree 5 is known as ___________________ polynomial

13.________________  in 1637 introduced the graph of a polynomial equation

14.If the leading coefficient of a univariate polynomial is one , then it is called ______________

15.A polynomial in one variable is called a ___________________polynomial

16.When P(x) is divided by ( x – a), then P(a)represents ________________

17.If P(c) =  0, then ( x - c ) is a __________ of P(x)

18.X^3 + Y^3 + Z^3 = _________ ,if X + Y + Z is zero.

19.X^3 + Y^3 +Z^3 – 3XYZ = K(X+Y+Z){(X-Y)^2 + (Y-Z)^2 + (Z-X)^2}, then k = _______

20.Every ____________ polynomial has zero.

21.The degree of zero polynomial is __________________

22.The value of 3y^3 – 4y + √11 at y = 2 is _______________

23.If x + y = 4 and xy = 6, then the value of x^3 + y^3 = _______

24.A constant polynomial have  _____________ zero

25.A quadratic polynomial have almost _______ zeros

26.A polynomial of degree n have almost ___________ zeroes

27.A constant polynomial zero is known as ___________ polynomial

28.A zero polynomial have ______________ zeros

29.Every real number is a zero/es of the ________ polynomial

30.A zero of a polynomial ______________ be zero

31.A polynomial can have more than _______ zero

32.Every linear polynomial has _______ and only _______ zero

33.Exponent of every polynomial is _______________ number

34.Degree of x^2 + 3x^4 + 66 is _________________

35.Degree of x^2y^2 + x^3y^2 – 2x^3 is ______________

36.Remainder theorem is also known as ___________

TRUE OR FALSE

1.A polynomial have more than one zero.

2.The zero of the polynomial p(x) = 2x – 1 is ½.

3.The remainder when p(x) = 2x^3 – 2x^2 + x – 1 is divided by x + 1 is -12.

4.( x + 1) and ( 2x – 3) are factor of polynomial 2x^2 – 9x + 12.

5.2x+ √2is polynomial.

6.X^2 – x^1/2 is polynomial.

7.Y^2 – 1/y - 2 is polynomial.

8.Is x^4 + 4 = (a^2 + a + 2)(a^2 – a + 2) ?

9.Quadratic polynomial is univariate

10.x^2 + x^3 – 4x^4 is monic.

MULTIPLE CHOICE QUESTIONS

1.  Which one is not a polynomial

      (a)   4x^2 + 2x – 1(b)   y + 3/y(c)   x^3 – 1(d)   y^2 + 5y + 1

2.  The polynomial ax^2 + bx + cx^4 + 5 is 

      (a)   linear           (b) quadratic          (c) cubic            (d)  Biquadratic

3.  Identify the polynomial

      (a)   x^–2 + x^–1 + 5     b) x^1/2 -1/2    (c)  1/x  + (- x)  (d)   3x^2 + 7

4.  The zero of the polynomial p(x) = 2x + 5 is

      (a)   2        (b)   5      (c)   2/5        (d)   -5/2

5.  The number of zeros of x^2 + 4x + 2

      (a)   1      (b)   2      (c)   3      (d)   none of these

6.  The polynomial of type px^2 + qx + r, a = 0 is of type

      (a)   linear      (b)   quadratic     (c)   cubic       (d)   Biquadratic

7.  The value of k, if (x – 1) is a factor of 4x^3 + 3x^2 – 4x + k, is

      (a)   1     (b)   2      (c)   –3       (d)   3

8.  The degree of polynomial p(x) = x+√(x^2+1)  is

      (a)   0     (b)   2      (c)   1       (d)   3

9.  If 3 + 6 – 9 = 0, then the value of (3)3 + (6)3 – (9)3 is

      (a)   260       (b)  –360        (c)  –486   (d)   486

10.  If value of 104 × 96 is

      (a)   9984   (b)   9469      (c)   10234     (d)   11324

11.  The value of 5.63 × 5.63 + 11.26 × 2.37 + 2.37 × 2.37 is

      (a)   237      (b)   126     (c)   56        (d)   64

12.  The value of [(361)^3 (+139)^3)]/[(361)^2-361*139+(139)^2 ] is

      (a)   300  (b)   500   (c)   400     (d)   600

13.  If x + y = 2, x^2 + y^2 = 5 then xy is

      (a)   1    (b)   3      (c)   2       (d)  None of these

14.  If x + 2 is a factor of x^3 – 2ax^2 + 16, then value of a is

      (a)   3    (b)   1    (c)   4   (d)   2

15.  If one of the factor of x^2 + x – 20 is (x - 4). Find the other

      (a)   x – 4   (b)   x + 2      (c)   x + 5        (d)   x – 5

16. which one of the following algebraic expressions is a polynomial in variable x ?

(a)  x2 + 1/x^2             (b) √x+1⁄(√x)               (c) x^2+ (3x)^(3⁄2)/√x    (d) none of these

17. Degree of the polynomial p(x) = ( x + 2 )( x – 2 ) is 

(a) not define            (b) 1                             (c) 0                         (d) 2 

18. If x^3 + y^3 + z^3 = 2k[ ( x – y)^2 + ( y – z)^2 + ( z – x)^2 ] then k is

(a) 1/4                         (b) 1/2                          (c) any real number      (d) not define

19. If both x = 2 and x = ½ are factors of px^2 + 5x + r, then p = 

(a) ¾ r                       (b) 2r                           (c) r/2                         (d) r 

20. Who is the father of polynomials ?

(a) Diophantus           (b) Newton                  (c) Euclid                      (d) Aryabhatta

MATCH THE FOLLOWING

Match or Choices for the correct combination of elements from List-A and list – B are given as options (a), (b), (c) & (d) out of which one is correct.

1. List- B shows the degree of polynomials given in List- A.

                                                                

          List-A                                       List- B

p) 2 – y^2 – y^3 + 2y^8                1) 2

q) 2                                                2) 1

r) 5X - √7                                      3) 0

s) 4 – X^2                                      4) 8         

CODE

                p q r s

            a) 1 3 2 4

            b) 4 3 2 1

            c) 4 2 3 1

            d) 2 3 4 1

2. List – B gives the values of k for polynomials given in List-B when it divided by x – 1

             LIST-A                                LIST – B

p) Kx2 – 3x – 2k                        1)  0

q) X^2 – x + k                            2) -3

r) 2x^2 + kx + 3                      3) (√2-1)/3

s) 3kx^2 - √2x + 1                     4)  -5

CODE

p q r s

a) 2 1 4 3

b) 4 1 3 2

c) 1 4 3 2

d) 2 2 4 1

3. List-B gives value of the polynomials given in List – A at the given points.

            LIST-A                                      LIST-B

p) 3t^3 – 2t^2 + t at t = ½                    1) 2

q) 3x^3 + x^2 – 20x +12 at x = 2/3     2) -1

r) 7u^5-4u^3 + 2 at u = 0                    3) 3/8

s) (3s – 1)(2s-3) at s = 1/2                   4) 0

CODE

    p q r s

a) 1 2 3 4

b) 4 2 1 3

c) 4 3 2 1

d) 3 4 1 2

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OBJECTIVES OF EUCLID GEOMETRY - CLASS: IX

EUCLID GEOMETRY

FATHER OF GEOMETRY - EUCLID

MULTIPLE CHOICE QUESTIONS

1. How many straight lines can pass  through two given lines?
  a)  None       b).  Only one         c).  Two              d).  Three

2.  What is the least number of lines required to make a closed figure?
           a)  One         b) Two                  c).  Three           d)  Four

3.  Which of the following is an axiom?
           a) Theorem    b) Definitions   c)  The universal truth in all branches of Mathematics
       d) Universal truth specific to geometry

4.  How many dimension does a surface has?
           a).  One         b) Two               c)  Three              d)  Four

5.  A solid has how many dimensions?
           a).  One         b) Two               c)  Three              d) Four

6.  The figure formed by two straight lines having a common point between them is known as
           a)  Angle        b)  Triangle       c)  Rhombus          d).  Kite

7.  How many lines can passes through one common point?
           a)  One          b) Two               c).  Three             d).  Four

8.  Which of the following are boundaries of a surface?
           a)  Lines        b) Curves           c).  Surfaces        d).  Points

9. . Euclid belongs to
a) Greece                 b) Italy              c) Germany           d) Egypt

10 . The total number of propositions in the elements is?
a) 20                         b) 7                    c)13                      d) 465

11. Ram salary is equal to Mohan salary, Due to recession, the salaries of ram and Mohan are made half. The final salary of Ram will still be equal to Mohan. This is are per
a) Ist  axiom             b) 7th  axiom       c) 6th axiom          d) 2nd axiom

12 . Which of these statements are false?
a)The number of dimensions in the solid is 3
b) The number of dimensions in the surface is 2
c) The number of dimensions of a point is 1
d) None of these

13. The number of line segments determined by the three non collinear points is
a) one                          b) two                  c) three                          d) four

14. Boundaries of the solid are
a) lines                       b) points                c) surface                      d) curves

15. It is known that if p+q=11 then p+q+r=11+r. The Euclid axioms that illustrates this statement is
a) Ist axiom               b)3Th  axiom           c) 4th axiom                    d) 2nd axiom

16. which of the following is not an undefined term?
a) line            b) angle             c) plane            d) point

17. Which of the following needs a proof?
a) postulates       b) Definitions         c) Propositions         d) Axioms

True or False statement

a) In geometry, we take point, line and plane as defined term
b) Two lines drawn in a plane always intersect at a point
c) Only one line can pass through the two points X and Y
d) If two circle are equal, then there radii is also equal
e) Three points are concurrent if they have only one common point between them
f) The statements that are proved are called postulates
g) The whole is greater than the part is a postulate
h) If the area of square X equals to the area of rectangle Y and the area of rectangle Y is equal to area of circle Z,then area of square X equals to area of circle Z

MATCH THE FOLLOWING

1.                  LIST – A                                  LIST- B 
A) Who gave the proof that circle can be     1)  Brahagupta
          bisected  into two equal parts by
           its diameter 
B) Who derived the value for area of            2) Aryabatta
        isosceles triangle
C) Who derived the value for                        3) Bhaskara –II
       volume of pyramid       
D) Who  discovered the formula                   4) Thales
      for the finding the area of
       cyclic quadrilateral     
                                                                        5) Pythagoras

2.               LIST- A                                LIST-B

 P)  only one line can pass through                     1) One point
Q)  infinite number of lines can pass through     2) common
R)  two distinct lines can’t have more than
        one point in                                                  3) two point
S)  two distinct points always determines           4) a line

CODE:     P        Q           R         S

A)          1          4           3          2
B)          3          1           2          4
C)          3          2           1          4
D)          4          2           1          3

 

3.         LIST-A                LIST-B

P)   a point                         1)  has length and breadth
Q) a line                             2) has no part
R) a surface                       3) has breadthless length
S) ends of a line                4) points

CODE:         P      Q    R    S

A)                4     2     3     1
B)                2     4     3     1
C)                1     4     3     2
D)                2    3      1     4

4.              LIST-A                  LIST-B 

P) POSTULATE 1         1) A TERMINATED LINE CAN  BE PRODUCED                                                                                                     INDEFINITELY

Q) POSTULATES 2     2) ALL RIGHT ANGLES ARE EQUAL TO ONE                                                                                                      ANOTHER

R) POSTULATS 3       3) A STRAIGHT LINE MAY BE BE DRAWN FROM                                                                                            ONE POINT TO ANY OTHER POINTS

Q) POSTULATES 4      4) A CIRCLE CAN BE DRAWN WITH ANY                                                                                                           CENTRE AND RADIUS

CODE :        P    Q    R    S

A)              1     3     2    4
B)              4     3     2    1
C)              3     1     4    2
D)              3     4     1    2

FILL UPS:

1. The assumptions which are obvious universal truths is known as _________.
2. Things which are equal to the same things _________ to one another.
3. If equal are subtracted from equals, then remaining things are _______
4. Things  which are double of the same things are _____ to one another.
5. Two distinct intersecting lines cannot be ________ one anther.
6. All right angles are ________
7. The whole is greater than its ________________
8. Euclid’s is also known as ____________________
9. Point has ____________ dimensions
10. Line has ____________  dimensions
11. Surface has _________ dimensions
12. Solids has ___________ dimensions
13. Boundaries of a solid are called _____________
14. Boundaries of a surfaces are called __________
15. Lines end in ________________
16. Geometry is derived from __________ and _________ ( word)
17. Euclid was a students of ____________

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MCQ OF NUMBER SYSTEM, CLASS: IX

NUMBER SYSTEM

ARCHIMEDES - FATHER OF MATHEMATICS

FILL  UPS:

1. There are _______________ rational numbers between two rational numbers.
2. If m is natural numbers & 4<m<9,  then √m  is a/an ______________ numbers.
3. Decimal expansion of irrational number are _____________   and __________
4. Non-terminating and repeating decimal expansion is a/an_______________ numbers.
5. A rational number of the form p/q, where p, q∈Z and H.C.F(p,q) is _____________
6. 55 * 52 + 5 = _________
7. Log(mn) = log __ + log __
8. Log100 = ______
9. loga = _____
10. Every ________ number is a whole number.
11. All counting number together with 0 constitute a set of  ___________ number.
12. The two rational number which are their own multiplicative inverses are  ________
13. Decimal form of irrational number are neither ______________ nor ____________
14. If a and b are two positive rational numbers, then √((a+b)/2) is __________ number.
         p/q: q≠0, then p and q are  _________________
15. The greatest amongest ∛(4,) ∜5&∜3 is _________________
16. ____________ known as the father of mathematics.
17. ____________ known as the father of modern mathematics.
18. Decimal expansion of Rational number is either ___________ or _________ & _________

TRUE OR FALSE:

1. Every whole number is natural number.
2. Multiplcative inverse of 2/3 is -2/3
3. Every natural number is a whole number
4. Every integer is a whole number
5. Some whole number is an integer
6. Every whole number is an integer
7. Every real number is a rational number
8. Every rational number is a rational number
9. Some rational number is a rational number
10. Some whole number is a natural number
11. Every irrational number is a whole number
12. Irrational and real number together form rational number
13. Natural number together with zero a whole number
14. Between every two rational number their exist infinite number
15. Between two rational number their finite irrational number
16. Terminating or non-terminating but recurring is a rational number
17. The sum of an irrational number and non-zero rational number is always an irrational numbers.
18. 2& 5 are twin prime number
19. Zero is even number
20. Square of every real number is positive number.

MULTIPLE CHOICE QUESTIONS

1. which of the following are co-prime numbers
              (a)   2, 3           (b)   2, 4          (c)   2, 8          (d)   2, 12

       2. A rational number equivalent to 5/7  is
    (a) 18/17    (b)  28/27        (c) 10/14          (d)   10/27


        3. An example of a whole number is
             (a)   0      (b)  -1/2            (c)   11/5         (d)   –7

      4. Given a rational number -5/9. This rational number can also be known as
             (a)   a natural number     (b)   positive integers      (c)   a fraction    (d)   a real number

       5. The rational number 0.3333……can also be written as
             (a)   0.3                (b)  3/10              (c)   0.33                  (d)   1/3      e) None of these

       6. If the decimal form of a number is non-terminating, non-repeating then the number is
      (a)   a natural number                             (b)   a rational number                                                               (c)   a whole number                               (d)   an irrational number          (e) none of these
 
7.  Select the following number whose square root  is rational
           (a)   7           (b)   1.96         (c)   0.04           (d)   13           e) 12.1

8. The number 1.101001000100001... is
               (a)   a natural number                              (b)   a whole number
                (c)   a rational number                              (d)   an irrational number
9. The number 1.200200200200002... is
               (a)   a natural number                              (b)   a whole number
             (c)   a rational number                             (d)   an irrational number

         10 . Decimal expansion of irrational number is
                a)  Recurring     b) Terminating        c) Terminating and recurring         d) none of these

     11. Decimal expansions of rational number is
                a) terminating                                         b) repeating
                c) non-terminating but recurring             d) all of these

     12. Unit digit of 824 is
               a) 8             b) 4              c) 0          d) 1               e) none of these

     13. which of the following has terminating decimal expansions
               a) 1/3         b) 5/6            c) 7/2           d) 2/15

      14.  The 100 root of (10)^(10)^(10)is
             a) 10^(8^10 )                    b) 10^(10^8 )          c)(√10)^((√10)^10 )        d) 10^(√10^(√10) )

      15. which of the following can be written as p/q
               a) 0.195195……    b) 0.10100……      c)  0.23452346……….    d) 0.5656566……

      16. How many irrational number between 1/3 & 1/7 is :
               a) one               b) two                c) three          d) not defined           e) none of these

      17. The product of √3& ∛5is:
                a) √(6&375)             b) √(6&575)                c)√(6&475)                d) √(6&675)

       18. Which of the following  a rationalization factor of √450
               a) √3               b) √5                        c)√2                           d) None of these

       19. Which of the following numbers does not lies between 3/5 and 4/5
              a) 2/3              b) 7/10                     c) 11/15                       d) None of these

      20. If a and b are integers with a >b. The  integers lies between a and b is
           a) a - b                 b) a – b - 1              c) a – b + 1                   d) none of these

      21. The unit digit of 22.33.44 is
           a) 4                b) 2             c) 8              d) 1         e) None of these

      22. The unit digit of 7735 is
           a) 7                       b) 9                         c) 1                              d) None of these

       23. √x√y=√(xy)  is true when
          a)  x>0,y>0            b) x>0,y<0           c)x<0,y>0         d) All of these

      24. A rational number between √3&√5 is:
           a)(√3+√5)/2                    b) (√3*√5)/2                   c) 1.5                    d) None of these

BY
ARANBIR SINGH

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TRIANGLE OBJECTIVE

           TRIANGLE - 1

ARYABHAT FATHER OF INDIAN MATHEMATICS

FILL IN THE BLANKS:
1. A triangle having all the three sides of equal length is known as .....................

2. A triangle having two sides of equal length is known as ..........................

3. A triangle having three sides of different length is known as ....................

4. A triangle whose all angles are acute angle is called ............................

5. A triangle whose one angle is obtuse angle is called ............................

6. A triangle whose one angle is right angle is called.................................

7. The sum of all interior angles of triangle is ............................

8. The sum of all exterior angles of triangles is ........................

9. Area of triangle = ....................

10. Triangle is derived from two word ................ and ..............which means ...........

       

11.      The angle opposite to equal side of a triangle are  ………………………...

12.      Sum of the angles of quadrilateral is equal to …………….  right angles .

13.      Two circles are said to be congruent if they have same ………………

14.      Sum of any two side of a triangle is always greater than the ………. third side.

15.      In right ∆ PQR and ABC, if the hypotenuse PR = AC and side PQ = AB, then  ∆ RPQ 

 ……………

16.      Two geometrical figures are congruent if they have exactly the same ……… and ………..

17.      Two triangles are congruent if and only if their corresponding …………..  and the corresponding angles are …………………

18.   If two sides and the ……………. angle of one are equal to  the corresponding sides and the ………… angle of other triangle, then two triangles are congruent

19.   A triangle is …………………. iff any two altitudes are equal.

20.  The medians of an equilateral triangle are ……………………….

21.   Median is also called …………….  in equilateral triangles

22.  Triangle is formed by joining three  ……………………………………………….. points.

23.   A point where two sides of a triangle meet is known as ………………of a triangle.

24.   Every angle of an equilateral triangle is of …………………………………………..measure.

25.   A ……………………………….. triangle has one angle of 90°.

26.   A triangle has …………………………. vertices and…………………………………………sides.

27.   In an …………….. triangle, the remaining two angles are acute

28.   The sum of the measure of all three interior angles of a triangle is ………………………..

29.   A triangle whose two angles are equal is known as ……….…triangle.

MULTIPLE CHOICE QUESTIONS:

1. Two congruent figure have same :
a). Shape    

b). Size     

c). Color   

d). Both a and b

2. Two figures are said to be similar if they have same :
a). Shape    

b). Size    

c). Color      

d). Both a and b

3. Which of the following is not a congruency rule
a). ASA   

b). SSA    

c). RHS   

d) AAA 

4. Choose the correct statement

     (a) a triangle has two right angles

     (b) all the angles of a triangle are less than 60°

     (c) centroid is the point of intersection of medians

     (d) None of these

5. If ΔABC is congruent to ΔPQR by SSS congruence rule, then:

      (a) ∠C < ∠R                            

      (b) ∠B < ∠Q

      (c) ∠A < ∠P

      (d) ∠A = ∠P, ∠B = ∠Q, ∠C = ∠R

6.   In isosceles triangle ACD and ADB , the congruency rule used in proving ∠ACD ≌ ∠ADB is

(a) ASA                             

         (b) SSS

        (c) AAS                             

       (d) RHS                                                                  

    

7.   In the given figure, find PM

                                                                                   

      (a) 3 cm                              

      (b) 5 cm

      (c) 4 cm                             

      (d) 2 cm

8. In isosceles triangle ABC, AD is the median then ∠BAD is

                                                                                     

          (a) 35°                                

         (b) 70°

         (c) 110°                              

         (d) 55°

9. Which is not a criterion for congruence of triangles ?

(a) SSA                         

(b) SAS                           

(c) ASA                  

(d)  SSS

10. The sum of altitudes of a triangles is ________ than the perimeter of the triangle

(a) Greater                  

(b) equal                    

(c) half                        

(d) less

11. If one angle of a triangle is equal to the sum of other two angles, then triangles is ___

(a) Acute triangles                                         

(b) right triangles                                                

(c) obtuse triangles                                   

(d) none of these

12. The centroid is the intersection of three ___________ of a triangles

(a) Altitudes                                                   

(b) Medians                                               

(c) Angles bisectors                                 

(d) Perpendicular bisectors

13. The incentre is the intersection of three ___________ of a triangles

(a).Altitudes                                               

(b) Medians                                                         

(c) Angles bisectors                                   

(d) Perpendicular bisectors

14. The orthocentre is the intersection of three ___________ of a triangles

             (a).Altitudes                                               

             (b) Medians                                                          

             (c) Angles bisectors                                               

             (d) Perpendicular bisectors

15. The circumcentre is the intersection of three ___________ of a triangles

(a).Altitudes                                                                   

(b) Medians                                         

(c) Angles bisectors                                                       

(d) Perpendicular bisectors

16. Euler’s line of triangles is the lines which passes through _______________

(a) Orthocenter               

(b) circumcentre           

(c) centroids           

(d) all of these

17. What type of triangle is Δ ABC, where ∠B = ∠C = 71°? 

(a) Equilateral        

(b) Isosceles     

(c) Scalene         

(d) acute

18. What is a triangle that contains no right angle called?

(a) Right      

(b) Oblique     

(c) Opaque            

(d) none of these

TRUE OR FALSE:

1. Every similar figure is congruent.

2. Every congruent figure is similar.

3. Every ATM cards are congruent.

4. Every ATM cards are similar.

5. Every ten rupee coin are congruent.

6. Triangle is a closed figure.

7. Triangle is a type of polygon. 

8 If any two angles and a non-included side of one triangle are equal to the corresponding angles            and side of another triangle respectively, then the two triangles are not congruent………………

9. Angles opposite to two equal sides of a triangle are unequal………………………

10. The sum of any two sides of a triangle is equal to its third side………………….

11. Difference of any two sides of a triangle is greater than the third side…………...

12. An obtuse triangle may be an equilateral triangles……………………….

13. Scalene triangle cannot be an acute- angled triangle ……………………

14. An isosceles triangle may be a right angled triangle…………………...

15. The angles of a triangle are in the ratio 2 : 1 : 3, then triangles is a right angled      triangles………………….

Match The Following     

 1. Traiangle ABC congruence QRP, 

      

     Match the corresponding parts.

                     List- A                                                           List – B

      P)           AB                                                            1)   Angle Q 

      Q)          BC                                                             2)   QP

    

      R)          AC                                                             3)   QR

      S)           Angle A                                                    4)   RP

Code:

             P            Q            R             S

a)      1             2             3              4

b)      1             2             4              3

c)      3             4             2              1

d)     2             3             1              4

BY 
ARANBIR SINGH

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