Congruence in Right Triangle

Complete the congruence statement.

• CRP

• PCR

• RPC

• PRC

Two right triangles have side lengths as follows: Triangle 1 has sides 3 cm, 4 cm, and 5 cm. Triangle 2 has sides 6 cm, 8 cm, and 10 cm. Are these two triangles congruent?

• Yes, by the Hypotenuse-Leg Theorem

• Yes, by the Side-Angle-Side Theorem

• No, they are similar but not congruent

• No, they do not share any congruence criteria

• Side-Side-Side (SSS)

• Side-Angle-Side (SAS)

• Angle-Side-Angle (ASA)

• Hypotenuse-Leg (HL)

Given two right triangles where the lengths of the hypotenuses are equal and one pair of corresponding legs are equal, which theorem can be used to prove the triangles are congruent?

• Side-Side-Side (SSS)

• Side-Angle-Side (SAS)

• Hypotenuse-Leg (HL)

• Angle-Side-Angle (ASA)

Are these two triangles congruent? If so, how?

• Yes, by AAS

• Yes, by SSS

• Yes, by ASA

• Yes, they look congruent

• No they are not congruent

What is the other corresponding congruent part of these two right triangles?

• Hypotenuses

• Legs

• Acute Angles

• None

What is the missing corresponding congruent part of these two right triangles?

• Hypotenuses

• Legs

• Acute Angles

• None

What is the theorem that justifies the congruence of the two right triangles?

• HL

• AAS

• ASA

• SAS

What is the theorem that justifies the congruence of the two right triangles?

• HL

• AAS

• SSA

• ASA

What is the theorem that justifies the congruence of the two right triangles?

• HL

• SSA

• ASA

• SAS