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Triangle Congruence: SSS, SAS, ASA, AAS, and HL

In this topic, we apply SSS, SAS, ASA, AAS, and HL to prove triangles congruent and solve problems.
Practice Question
1

The legs of both right ΔABC and right ΔDEF are 3 cm and 4 cm. They each have a hypotenuse 5 cm in length. Are triangles ABC and DEF congruent?
If yes, then which postulate or theorem justifies the congruence?

 
Possible Answers
Your Answer
Correct Answer
A)

Yes, SAS
B)

No
C)

Yes, SSS
D)

Yes, AAS
Practice Question
2

The legs of both right ΔABC and right ΔDEF are 12 cm and 5 cm. They each have a hypotenuse 13 cm in length. Are triangles ABC and DEF congruent?
If yes, then which postulate or theorem justifies the congruence?

 
Possible Answers
Your Answer
Correct Answer
A)

Yes, AAS
B)

No
C)

Yes, SAS
D)

Yes, SSS
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