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5.1 Exploring what Makes Triangles Congruent

Total questions: 14

Worksheet time: 4hrs 30mins

Name
Class
Date
1.

Which triangles are congruent to A?


HINT: FIND THE THIRD ANGLE.

a)
b)
c)
d)

none of them

2.

Which triangles are congruent to F?


HINT: FIND THE THIRD ANGLE.

a)
b)
c)
d)

NONE of them

3.

Which of the following triangles are congruent to T? Select all that apply.


HINT: FIND THE THIRD SIDE.

a)
b)
c)
d)
4.

Given that ΔPQR ≅ Δ LJK, PR=2x+6, JL= 10 units, LK= 3x-6, find the measure of side PR.


HINT: FIND X USING PR=JL. THEN PLUG X INTO PR.

a)

10

b)

2

c)

12

d)

30

5.

Select the congruent triangles.

a)
b)
c)
d)
6.

After a series of rigid transformations, ΔDOG is mapped onto ΔD'O'G'.

Find x.

a)

2.5

b)

4

c)

6

d)

6.5

7.

ΔDEF is a 90º clockwise rotation of ΔABC. Find x.

a)

20

b)

35

c)

63

d)

78

8.

 ΔABCΔEDC\Delta ABC\cong\Delta EDC  Find x.

a)

11

b)

19

c)

38

d)

58

9.

Given the diagram, which of the following must be true?

a)

∆XSF ≅ ∆XTG

b)

∆SXF ≅ ∆GXT

c)

∆FXS≅ ∆XGT

d)

∆FXS ≅ ∆GXT

10.

Use the Third Angles Theorem to find the value of x.

a)

x = 60

b)

x = 55

c)

x = 15

d)

x = 65

11.

Which triangles are congruent to A?


HINT: FIND THE THIRD ANGLE.

a)
b)
c)
d)

none of them

12.

Which of the following statements are true? (Mark all that apply)

a)

∠P ≌ ∠V

b)

JP ≌ TV

c)

∠L ≌ ∠S

d)

JL ≌ TS

e)

∠J ≌ ∠T

13.

Which of the following are corresponding angles? (Mark all the apply)

a)

∠L ≌∠Q

b)

∠M ≌ ∠ N

c)

∠P ≌ ∠M

d)

∠MLN ≌ ∠PNQ

e)

∠MNL ≌ ∠ PNQ

14.

These triangles are congruent. If ∠E is 45o and ∠B is 55o what is the measure of ∠C?


HINT: THE SUM OF THE 3 INTERIOR ANGLES EQUAL 180 DEGREES.

a)

45o

b)

55o

c)

80o

d)

100o