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Congruent Triangles

Total questions: 10

Worksheet time: 5mins

Name
Class
Date
1.

Which of the following is a valid congruency statement given the triangles below?

a)

ΔPTW ≅ ΔHDG

b)

ΔPTW ≅ ΔHPG

c)

ΔWTP ≅ ΔDGH

d)

ΔWTP ≅ ΔGDH

2.

Which of the following is a valid congruency statement for sides?

a)

PT ≅ DG

b)

TW ≅ GD

c)

WP ≅ DH

d)

TP ≅ DH

3.

Given the congruency statement ΔABE ≅ ΔMNP, which congruent angle and side are correct according to the congruency statement? (SELECT THE TWO, THIS APPLIES TO)

a)

ΔB ≅ ΔN

b)

ΔA ≅ ΔP

c)

AB ≅ ΔPN

d)

AB ≅ MN

4.

Given the congruency statement ΔQRY ≅ ΔJLS, list a pair of congruent angles.

a)

ΔY ≅ ΔJ

b)

ΔQ ≅ ΔL

c)

ΔY ≅ ΔS

d)

ΔR ≅ ΔJ

5.

Given ΔXPS ≅ ΔDNF, find the value of x.

a)

x = 5

b)

x = 7

c)

x = 3

d)

x = 11

6.

Given ΔMTW ≅ ΔBGK, find the value of x.

a)

x = 5

b)

x = 7

c)

x = 6

d)

x = 12

7.

Given ΔPRS ≅ ΔCFH, find the value of x.

a)

x = 5

b)

x = 6

c)

x = 23

d)

x = 8

8.

If ΔABC ≅ ΔDEF, BC = 19, EF = 4x - 1, find the value of x.

a)

x = 5

b)

x = 3

c)

x = 2

d)

x = 4

9.

If ΔZMK ≅ ΔAPY, m∠Y = 41°, m∠K = (13x - 37)°, find the value of x.

a)

x = 10

b)

x = 6

c)

x = 12

d)

x = 13

10.

If ΔBTS ≅ ΔGHD, BS = 25, GD = 4x - 11, find the value of x.

a)

x = 9

b)

x = 10

c)

x = 11

d)

x = 12