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Parts of Congruent Triangles

Total questions: 10

Worksheet time: 10mins

Name
Class
Date
1.

If ΔDEF ≅ ΔRST, then we can conclude that ∠S ≅ ____.

a)

∠F

b)

∠E

c)

∠D

d)

DE

2.

∠E ≅ ∠ __

a)

A

b)

B

c)

C

d)

D

3.

Imagine you're an explorer in the land of Geometry and you've discovered two mysterious triangles, ∆LMK and ∆LMT, that are congruent! Can you tell which angle from ∆LMK is congruent to an angle in ∆LMT?
∠K ≅ ____

a)

T

b)

∠T

c)

∠M

d)

∠L

4.

Let's play a game of match-the-triangles! Can you tell which of the following pairs of triangles are congruent? Remember, the order of vertices matters!

a)

∆FGH and ∆VHW

b)

∆HFG and ∆HWV

c)

∆HGF and ∆VHW

d)

∆FGH and ∆VWH

5.

Let's play a game of match-up! Can you complete this congruence statement for me?

a)

OEG

b)

OGE

c)

EGO

d)

GOE

6.

Hey there, geometry wizard! Can you tell us which triangle is congruent to ΔEDF? Is it Δ____?

a)

ABC

b)

CAB

c)

BAC

7.

These two triangles are congruent. If ∠C is 40o find the measure of ∠F. Hint... be sure to find the measure of ∠F.

a)

40o

b)

50o

c)

90o

d)

45o

8.

What is the length of segment PC?

a)

13cm

b)

21cm

c)

29cm

d)

15m

9.

Given that ΔPQR ≅ Δ LJK,  PR=2x+6, JL= 10 units,  LK= 3x-6, find the measure of side PQ.  Hint... sketch and label a picture.

a)

12

b)

10

c)

2

d)

30

10.

Find y.

a)

2

b)

3

c)

4

d)

5