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Congruent Triangles

Total questions: 16

Worksheet time: 8mins

Name
Class
Date
1.

ΔABC and ΔPQR are congruent under the correspondence ABC ↔RQP Write the parts of ΔABC that correspond to RQ.

a)

AB

b)

BC

c)

AC

d)

Non of these

2.

Which angle is included between the sides DE and EF of ΔDEF?

a)

∠D

b)

∠E

c)

∠F

d)

none of these

3.

By applying SAS congruence rule, you want to establish that ΔPQR ≅ ΔFED. It is given

that PQ = FE and RP = DF. What additional information is needed to establish the

congruence?

a)

∠P = ∠D

b)

∠Q = ∠D

c)

∠P = ∠F

d)

∠R = ∠F

4.

Which congruence criterion do you use in the following?

Given: AC = DF, AB = DE, BC = EF. So, ΔABC ≅ ΔDEF

a)

ASA rule

b)

SAS rule

c)

RHS rule

d)

SSS rule

5.

ΔABC and ΔPQR are congruent under the correspondence ABC ↔RQP. Write the parts of ΔABC that correspond to PQ.

a)

CB

b)

AB

c)

AC

d)

none of these

6.

Which congruence criterion do you use in the following?

Given: ZX = RP, RQ = ZY, ∠PRQ = ∠XZY. So, ΔPQR ≅ ΔXYZ

a)

ASA rule

b)

SSS rule

c)

RHS rule

d)

SAS rule

7.

If two line segments are ___________, they have the same length.

a)

congruent

b)

different

c)

similar

d)

none of these

8.

The side opposite to the right angle is called the _________ of the right-angled triangle.

a)

hypotenuse

b)

legs

c)

adjacent sides

d)

diagonal

9.

The sum of an exterior angle of a triangle and its adjacent interior angle is ________.

a)

180º

b)

90º

c)

120º

d)

150º

10.

The three angles of a triangle are in the ratio 1:2:1. Measure of the largest angles of the triangle is ------------.

a)

90°

b)

45°

c)

30°

d)

120°

11.

Find the supplement of 105 o.

a)

80 o

b)

65 o

c)

75 o

d)

100 o

12.

Angle opposite to the side LM of Δ LMN

a)

angle N

b)

angle M

c)

angle L

d)

none of these

13.

An_______ is formed when lines or line segments meet.

a)

ray

b)

line segment

c)

line

d)

angle

14.

According to Pythagoras property, in a right-angled triangle, the square on the ______ = sum of the squares on the legs.

a)

altitude

b)

right angle

c)

hypotenuse

d)

none of these

15.

You want to show that ΔART ≅ ΔPEN, if you have to use SSS criterion, then you need to show AR =

a)

PN

b)

EN

c)

∠P

d)

PE

16.

Which angle is included between the sides DE and EF of ΔDEF?

a)

∠D

b)

∠E

c)

∠F

d)

none of these