Answers MISD-Geometry-RECOVERY-A-2019-2020Unit Test

Triangle Congruence: ASA and AAS Answers

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Given: and are right angles; Prove:

of the ASA congruence theorem.

of the AAS congruence theorem.

of the third angle theorem.

all right triangles are congruent.

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Which shows two triangles that are congruent by AAS?

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.

2 triangles are connected at one side. The triangles have 2 congruent sides and 1 congruent angle. The first triangle is rotated to form the second triangle.

2 triangles are connected at one side. All sides are congruent.

2 triangles are connected at one side. The triangles have 2 congruent sides and 1 congruent angle. The first triangle is rotated and then translated down to form the second triangle.

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.

a rotation about point K

a reflection across the line containing MZ

a reflection across the line containing ZK

a rotation about point Z

Which shows two triangles that are congruent by ASA?

2 right triangles are connected at one side. The triangles have 2 congruent sides and one congruent angle.

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.

2 triangles have 3 congruent angles. The second triangle is to the right of the first triangle.

2 triangles have 2 congruent sides and 1 congruent angles. The first triangle is reflected across a line and then rotated to form the second triangle.

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.

a reflection across the line containing LK

a reflection across the line containing JK

a rotation about point L

a rotation about point K

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

B ≅ P and BC ≅ PQ

A ≅ T and AC = TQ = 3.2cm

A ≅ T and B ≅ P

A ≅ T and BC ≅ PQ

AC = TQ = 3.2 cm and CB = QP = 2.2 cm

Which statements are true about additional information for proving that the triangles are congruent? Select two options.

If A ≅ T, then the triangles would be congruent by ASA.

If B ≅ P, then the triangles would be congruent by AAS.

If all the angles are acute, then the triangles would be congruent.

If C and Q are right angles, then triangles would be congruent.

If BC ≅ PQ, then the triangles would be congruent by ASA.

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

Triangles L R K and A R Q are connected at point R. Triangle L R K is reflected across point R to form triangle A R Q.

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.

Triangles L P K and Q R A are shown. Triangle L P K is shifted down and to the left to form triangle Q R A.

Triangles L P K and Q R A are shown. Triangle L P K is rotated to form triangle Q R A. Triangle Q R A is also shifted to the right.

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.

Yes, all the angles of each of the triangles are acute.

Yes, they are congruent by either ASA or AAS.

No, B is not congruent to Q.

No, the congruent sides do not correspond.

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

alt. ext. s are ≅

ASA

AAS

corr. int. s are ≅

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Triangle Congruence: ASA and AAS Answers

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