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Worksheets

Triangles

Total questions: 20

Worksheet time: 15mins

Name
Class
Date
1.

Two figures are ___________, if they are of the same shape and of the same size.

a)

look alike

b)

similar

c)

equal

d)

congruent

2.

Sides opposite to equal _________ of a triangle are equal

a)

Vertices

b)

Angles

c)

Sides

d)

Altitudes

3.

For two triangles, if two angles and the included side of one triangle are equal to two angles and the included side of another triangle. Then the congruency rule is

a)

SSS

b)

ASA

c)

SAS

d)

RHS

4.

In a right triangle, the longest side is:

a)

Hypotenuse

b)

Perpendicular

c)

Base

5.

Which of the following statement is incorrect

a)

Two squares having the same side length are congruent

b)

Two rectangles having the same area are congruent

c)

Two circles having the same radius are congruent

d)

Two lines having the same length are congruent

6.

In triangles ABC and PQR, AB = AC, ∠C = ∠P and ∠B = ∠Q. The two triangles are

a)

Isosceles and congruent

b)

Isosceles but not congruent

c)

Congruent but not isosceles

d)

Neither congruent nor isosceles

7.

In triangle PQR if ∠Q = 90°, then:

a)

PQ is the longest side

b)

QR is the longest side

c)

PR is the longest side

d)

None of these

8.

In ∆ PQR, ∠R = ∠P and QR = 4 cm and PR = 5 cm. Then the length of PQ is

a)

2 cm

b)

2.5 cm

c)

4 cm

d)

5 cm

9.

In triangle ABC, if AB=BC and ∠B = 70°, ∠A will be:

a)

70°

b)

55°

c)

90°

d)

60°

10.

All the medians of a triangle are equal in case of a:

a)

Scalene triangle

b)

Right angled triangle

c)

Isosceles triangle

d)

Equilateral triangle

11.

If AB = QR, BC = PR and CA = PQ, then

a)

∆ CBA ≅ ∆ PRQ

b)

∆ BAC ≅ ∆ RPQ

c)

∆ ABC ≅ ∆ PQR

d)

∆ PQR ≅ ∆ BCA

12.

If ∆ ABC ≅ ∆ PQR, then which of the following is not true?

a)

AC = PR

b)

BC = PQ

c)

QR = BC

d)

AB = PQ

13.

In ∆ PQR, if ∠R > ∠Q, then

a)

QR < PR

b)

PQ < PR

c)

PQ > PR

d)

QR > PR

14.

It is given that ∆ ABC ≅ ∆ FDE and AB = 5 cm, ∠B = 40° and ∠A = 80°. Then which of the following is true?

a)

DF = 5 cm, ∠F = 60°

b)

DF = 5 cm, ∠E = 60°

c)

DE = 5 cm, ∠E = 60°

d)

DE = 5 cm, ∠D = 40°

15.

In figure if AE || DC and AB = AC, find the value of ∠ABD

a)

130°

b)

110°

c)

120°

d)

70°

16.

In figure AB ⊥ AE, BC ⊥ AB, CE = DE and ∠AED = 120°, then find ∠ECD.

a)

80°

b)

70°

c)

85°

d)

60°

17.

In the given figure, if the exterior angle is 135° then ∠P is:

a)

45°

b)

60°

c)

80°

d)

90°

18.

In the given figure, find PM

a)

3 cm

b)

4 cm

c)

5 cm

d)

6 cm

19.

ABC is a right angled triangle in which ∠A = 90°

and AB = AC. Find ∠ B and ∠C.

a)

30° and 60°

b)

45° and 45°

c)

60° and 30°

d)

90° and 0°

20.

In the given figure, AB = AC, AD = AE = 5 cm and DC = 8 cm. Length of EB is.

a)

8 cm

b)

3 cm

c)

4 cm

d)

5 cm