Triangle Congruence: ASA and AAS

Question 1

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 2

Triangles M Z K and Q Z K share side Z K. Angles M K Z and Z K Q are congruent. Angles K Z M and K Z Q are both right angles.

Revolt · Accepted Answer

a reflection across the line containing ZK

Question 3

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

Question 4

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 5

Triangles L K N and P Q M are shown. Sides K L and Q P are congruent. Angles L K N and P Q M are right angles.

Revolt · Accepted Answer

L ≅ P

Question 6

Which of these triangle pairs can be mapped to each other using two reflections?

Revolt · Accepted Answer

Triangles X Y Z and P Y T are connected at point Y. Triangle X Y Z is reflected across X Y and then is reflected another time across Y Z to form triangle P Y T.

Question 7

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 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

The proof ABC ≅ DCB that is shown.Given: A ≅ D; CD||ABProve: ABC ≅ DCB

Revolt · Accepted Answer

AAS

Question 10

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

Triangle Congruence: ASA and AAS Answers

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