Triangle Congruence: ASA and AAS — Quiz

Question 1

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

Revolt · Accepted Answer

Image with description 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. Side X Z is congruent to side P T, angle X Y Z is congruent to angle T Y P, and angle X Z Y is congruent to angle Y T P.

Question 2

Which shows two triangles that are congruent by AAS?

Revolt · Accepted Answer

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

Question 3

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

Revolt · Accepted Answer

Image with description 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. Side K P is congruent to side Q R, angle Q A R is congruent to angle K L A, and angle K P L is congruent to angle Q R A.

Question 4

Which of these triangle pairs can be mapped to each other using a translation and a rotation about point A?

Revolt · Accepted Answer

Image with description Triangles Q R A and K P L are shown. Triangle Q R A is rotated about point A and then is shifted down and to the left to form triangle K P L. Angle Q A R is congruent to angle K L P, side R A is congruent to P L, and angle Q R A is congruent to angle K P L.

Question 5

Which shows two triangles that are congruent by ASA?

Revolt · Accepted Answer

Image with description 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 6

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

Revolt · Accepted Answer

Image with description 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. Side X Z is congruent to side P T, angle X Y Z is congruent to angle T Y P, and angle X Z Y is congruent to angle Y T P.

Question 7

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

Revolt · Accepted Answer

angle cap b is congruent to angle cap p and line segment cap b cap c is congruent to line segment cap p cap q; angle cap A is congruent to angle cap t and cap A cap c is equal to cap t cap q is equal to 3 point 2 cm; angle cap A is congruent to angle cap t and line segment cap b cap c is congruent to line segment cap p cap q

Question 8

What additional information could be used to prove that the triangles are congruent using AAS? Choose two correct answers.

Revolt · Accepted Answer

mathrm cap A cap c is equal to 3 point 9 centimeters and cap r cap q is equal to 3 point 9 centimeters; line segment cap c cap b is congruent to line segment cap q cap m

Question 9

Are the triangles congruent? Why or why not?

Revolt · Accepted Answer

Yes, they are congruent by either ASA or AAS.

Question 10

What additional information is needed to prove that the triangles are congruent using the ASA congruence theorem?

Revolt · Accepted Answer

angle cap l is congruent to angle cap p

Triangle Congruence: ASA and AAS — Quiz Answers

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