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Prove It 6 Review :) - Triangle Congruences

Total questions: 13

Worksheet time: 13mins

Name
Class
Date
1.

CHECK ALL THAT APPLY: Which of the following is a valid postulate for triangles congruence?

a)

SAS postulate

b)

AAA postulate

c)

SSA postulate

d)

SSS postulate

2.

To prove that  ΔAGEΔOLD\Delta AGE\cong\Delta OLD by SAS, what additional information is needed?

a)

 GELDGE\cong LD  

b)

 <AGE<OLD<AGE\cong<OLD  

c)

 AGOLAG\cong OL  

d)

 <AEG<ODL<AEG\cong<ODL  

3.

To prove that ∆MWY and ∆MNL are congruent by SAS, what other information is needed?

a)

<W<N<W\cong<N

b)

WMMNWM\cong MN

c)

NLWYNL\cong WY

d)

<Y<L<Y\cong<L

4.

To prove that ∆ZTU and ∆VTU are congruent by HL, what other information is needed?

a)

<Z<V<Z\cong<V

b)

ZTTVZT\cong TV

c)

ZUUVZU\cong UV

d)

TUUTTU\cong UT

5.

Given two triangles, ∆ABC and ∆DEF, and AB ≅ DE, ∠A ≅ ∠D, and ∠B ≅ ∠E. Which method can be used to prove ∆ABC ≅ ∆DEF? (Hint: Draw and label a diagram!)

a)

ASA

b)

SAS

c)

HL

d)

SSS

6.

Given two triangles, ∆ABC and ∆DEF, and AB ≅ DE, ∠A ≅ ∠D, and AC ≅ DF. Which method can be used to prove ∆ABC ≅ ∆DEF? (Hint: Draw and label a diagram!)

a)

ASA

b)

SAS

c)

HL

d)

SSS

7.

Given two triangles, ∆ABC and ∆DEF, and AB ≅ DE, BC≅ EF, and AC ≅ DF. Which method can be used to prove ∆ABC ≅ ∆DEF? (Hint: Draw and label a diagram!)

a)

ASA

b)

SAS

c)

HL

d)

SSS

8.

In the diagram, four pairs of triangles are shown. Congruent corresponding parts are labeled in each pair. Using only the information given in the diagrams, which pair of triangles can NOT be proven congruent?

a)

C

b)

D

c)

A

d)

B

9.

If three sides of one triangle are congruent to three sides of another triangle, then the two triangles are congruent. What postulate is being defined?

a)

Side-Angle-Side (SAS)

b)

Angle-Angle-Angle (AAA)

c)

Side-Side-Side (SSS)

d)

Hypotenuse-Leg (HL)

10.

If two sides and the included angle of a triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent. What postulate is being defined?

a)

Side-Angle-Side (SAS)

b)

Angle-Angle-Angle (AAA)

c)

Side-Side-Side (SSS)

d)

Hypotenuse-Leg (HL)

11.

If two angles and the included side of a triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent. What postulate is being defined?

a)

Side-Angle-Side (SAS)

b)

Angle-Side-Angle (ASA)

c)

Side-Side-Side (SSS)

d)

Hypotenuse-Leg (HL)

12.

If two angles and the non-included side of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent. What postulate is being defined?

a)

Side-Angle-Side (SAS)

b)

Angle-Angle-Side (AAS)

c)

Side-Side-Side (SSS)

d)

Hypotenuse-Leg (HL)

13.

Two right triangles that have a congruent hypotenuse and a corresponding congruent leg are congruent. What postulate is being defined?

a)

Side-Angle-Side (SAS)

b)

Angle-Angle-Side (AAS)

c)

Side-Side-Side (SSS)

d)

Hypotenuse-Leg (HL)