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
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
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………………….
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