Free Printable Unit 5 Review (Congruent Triangles)

1.

How would you prove the triangles are congruent?

a)

ASA

b)

SAS

c)

AAS

d)

They're not congruent

2.

Which of the following is NOT a way to prove triangles are congruent?

a)

ASA

b)

AAS

c)

SSA

d)

SAS

e)

SSS

3.

How would you prove the triangles are congruent?

a)

HL

b)

SAS

c)

ASA

d)

They're not congruent

4.

If $\Delta GHJ\ \cong\ \Delta XYZ$ , then which of the following is true?

a)

$GH\ \cong\ XZ$

b)

$\angle H\ \cong\ \angle Y$

c)

$\angle G\ \cong\ \angle J$

d)

$XY\ \cong\ JH$

5.

If $\Delta XPS\ \cong\ \Delta DNF$ , solve for x:

a)

3

b)

2.8

c)

3.2

d)

15

6.

If $\Delta PHS\ \cong\ \Delta CNF$ , solve for y.

a)

10

b)

11

c)

38.67

d)

not enough information

7.

What additional information would you need to prove that $\Delta ABC\ \cong\ \Delta EDC$ by SAS ?

a)

$\angle B\ \cong\ \angle D$

b)

$\overline{AC}\ \cong\ \overline{EC}$

c)

$\overline{AB}\ \cong\ \overline{ED}$

d)

$\angle A\ \cong\ \angle D$

8.

What should always be written first in a proof?

a)

The statement you're proving

b)

Your givens

c)

Proof

d)

Reflexive Property

9.

Given the triangles in the diagram, which is a correct congruence statement?

a)

∆TUV ≅ ∆EUV

b)

∆VUT ≅ ∆UVE

c)

∆TUV ≅ ∆UEV

d)

∆UTV ≅ ∆EUV

10.

What two reasons would complete the proof?

a)

Transitive Property,

SAS(Side-Angle-Side)

b)

Reflexive Property,

SAS(Side-Angle-Side)

c)

Transitive Property,

SSS(Side-Side-Side)

d)

Reflexive Property,

SSS(Side-Side-Side)

11.

What is the "statement" for step 3 of the proof?

a)

∠EDA ≅ ∠DCB

b)

∠AED ≅ ∠BEC

c)

DE = CE

d)

∠AED ≅ ∠CED

12.

When using hypotenuse leg (HL) in a proof, you must first state ...

a)

CPCTC.

b)

you have right triangles.

c)

that vertical angles are congruent.

d)

the reflexive property.

13.

Which would be appropriate for the missing statement?

a)

$AD\ =\ DC$

b)

$\overline{BD}$ bisects $\overline{AC}$

c)

$m\angle ADB\ =\ 90\degree;\ m\angle CDB\ =\ 90\degree$

d)

$\angle DBA\ \cong\ \angle DBC$

14.

The triangles are congruent by which theorem?

a)

SSS

b)

SAS

c)

ASA

d)

AAS

e)

HL

15.

To prove that $\Delta EGA\ \cong\ \Delta IAG$ by SAS, what additional information is needed?

a)

$\overline{GA}\ \cong\ \overline{AG}$

b)

$\angle E\ \cong\ \angle I$

c)

$\overline{EA}\ \cong\ \overline{IG}$

d)

$\angle ENG\ \cong\ \angle INA$

16.

Which is a correct congruence statement.

a)

A

b)

B

c)

C

d)

D

17.

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

18.

In the given figure, assume that ∆ BSP ≅ ∆ PYB. What is the measure of side PS?

a)

20 cm

b)

40 cm

c)

80 cm

d)

94 cm

19.

If $\Delta VWX\ \cong\ \Delta XYV$ , what is the value of a?

a)

17

b)

23

c)

41

d)

9

20.

Which triangle congruence rules could prove that $\Delta DEC\ \cong\ \Delta ABC$ ? Choose all that apply

a)

SSS

b)

SAS

c)

ASA

d)

AAS

e)

HL

Unit 5 Review (Congruent Triangles)

Total questions: 20

Worksheet time: 29mins

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