Triangle Congruence: ASA and AAS

Question 1

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 2

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 3

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

Revolt · Accepted Answer

AAS

Question 4

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 5

Which of these triangle pairs can be mapped to each other using a reflection and a translation?

Revolt · Accepted Answer

Triangles L P K and Q R A are shown. Triangle L P K is reflected across a line to form triangle Q R A. Triangle Q R A is shifted to the right of triangle L P K.

Triangle Congruence: ASA and AAS Answers

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