5.6 Proving Figures Congruent by ASA and AAS

​5.6 Proving Figures Congruent By ASA and AAS

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"We are what we repeatedly do, so excellence is not an act but a habit."

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​-Unknown

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Multiple Choice

What are the five ways to prove triangles are congruent? #4

• SSS, ASA, AAS, SAS, HL

• SSS, SSA, HL, AAS, SAS

• SAS, SSA, HL, AAS, SSS

• HL, SAS, SSA, SSS, ASA

Multiple Choice

Which of the following cannot be used to prove triangles are congruent? #2

• HL

• AAA

• SSS

• SAS

Multiple Choice

Which triangle congruence theorem can be used to prove the triangles are congruent? #1

• SAS

• SSA

• ASA

• AAS

Multiple Choice

△TVX is equilateral. Complete the proof that △VWX≅△VUT. #14

• AAS

• ASA

• CPCTC

• Definition of Congruence

Multiple Choice

Congruent figures... #15

• Have the same dimensions (side lengths and angle measures)

• Are the same shape and size

• Can be mapped onto one another using rigid motions

• All of the above

Multiple Choice

Name the theorem that proves these triangles are congruent. #16

• SAS
• SSA
• ASA
• Not Possible

Multiple Choice

The two triangles are congruent. Find the value of c.

(Diagrams are not to scale.) #19

• 4

• 5

• 3

• 38

Multiple Choice

How are the two triangles congruent? #22

• A
• B
• C
• D

Multiple Choice

#23

• A
• B
• C
• D

Multiple Choice

What is the correct choice for Reason 3? #24

• Vertical Angles are Congruent
• Definition of Congruence
• Given
• Reflexive Property

Multiple Choice

Why is ΔAEB ≅ ΔCED? #26

• SAS

• ASA

• AAS

• SSS

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Multiple Choice

Name the theorem or postulate, if possible, that makes the triangles congruent. #5

• SAS

• ASA

• AAS

• Not Possible

Multiple Choice

State if the triangles are congruent and why. #6

• AAS

• ASA

• Not congruent

• SSS

Multiple Choice

For the triangles to be congruent by HL, what must be the value of x? #7

• 2

• 3

• 4

• 7

Multiple Choice

What is reason #4? #9

• ASA
• SAS
• HL
• AAS

Multiple Choice

Which triangle congruence theorem proves that triangle PRS is congruent to triangle QRS? #17

• HL
• SAS
• SSA
• AAS