Free Printable Review of Triangle Congruence Rules

1.

What is the value of x?

a)

47°

b)

60°

c)

80°

d)

72°

2.

Determine if the two triangles are congruent. If they are, state the postulate.

a)

SAS

b)

AAS

c)

Not enough information

d)

SSS

3.

Determine if the two triangles are congruent. If they are, state how you know.

a)

HL

b)

SSS

c)

ASA

d)

SAS

e)

Not enough information

4.

How would you prove the triangles are congruent?

a)

ASA

b)

SAS

c)

AAS

d)

They're not congruent

5.

How would you prove the triangles are congruent?

a)

HL

b)

SAS

c)

ASA

d)

They're not congruent

6.

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

a)

∠EDA ≅ ∠DCB

b)

∠AED ≅ ∠BEC

c)

DE = CE

d)

∠AED ≅ ∠CED

7.

The triangles are congruent by which theorem?

a)

SSS

b)

SAS

c)

ASA

d)

AAS

e)

HL

8.

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

9.

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

10.

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

a)

ASA

b)

AAS

c)

SSA

d)

SAS

e)

SSS

11.

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

a)

∆TUV ≅ ∆EUV

b)

∆VUT ≅ ∆UVE

c)

∆TUV ≅ ∆UEV

d)

∆UTV ≅ ∆EUV

12.

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)

13.

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.

14.

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)

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

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)

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

Review of Triangle Congruence Rules

Total questions: 15

Worksheet time: 15mins

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