Triangle Congruence: SSS and HL

Question 1

Given: and are right angles; Prove:

Revolt · Accepted Answer

of the AAS congruence theorem.

Question 2

Which shows two triangles that are congruent by AAS?

Revolt · Accepted Answer

2 right triangles are connected at one side. The triangles have 1 congruent side and 2 congruent angles. The second triangle is a reflection of the first triangle.

Question 3

Triangles Q R S and T U V are shown. Triangle Q R S is translated across S Q and then is shifted down and to the right to form triangle T U V.

Revolt · Accepted Answer

Yes, a translation mapping vertex Q to vertex T and a reflection across the line containing QS will map △QRS to △TUV.

Question 4

Given: and are right angles; ; Prove:

Revolt · Accepted Answer

AAS congruence theorem.

Question 5

What additional information could be used to prove that the triangles are congruent using AAS or ASA? Select three options.

Revolt · Accepted Answer

B ≅ P and BC ≅ PQ; A ≅ T and AC = TQ = 3.2cm; A ≅ T and BC ≅ PQ

Question 6

Triangles A C B and M Q R are shown. Sides A B and M R are congruent. Angles C A B and M R Q are 42 degrees. Angle C B A is 53 degrees. Angle M Q R is 85 degrees.

Revolt · Accepted Answer

Yes, they are congruent by either ASA or AAS.

Question 7

Which shows two triangles that are congruent by ASA?

Revolt · Accepted Answer

2 triangles are connected at one side. The triangles also have 2 congruent angles. The first triangle can be rotated to form the second triangle.

Question 8

Triangles J K L and M N Q are shown. Triangle J K L is rotated slightly about point L to form triangle M N Q.

Revolt · Accepted Answer

a rotation about point L

Question 9

What additional information could be used to prove that the triangles are congruent using AAS? Select two options.

Revolt · Accepted Answer

CB ≅ QM; AC = 3.9cm and RQ = 3.9cm

Triangle Congruence: SSS and HL Answers

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