Pretest

Question 1

Which statements are true about additional information for proving that the triangles are congruent? Choose two correct answers.

Revolt · Accepted Answer

If angle cap A is congruent to angle cap t , then the triangles would be congruent by ASA.; If angle cap b is congruent to angle cap p , then the triangles would be congruent by AAS.

Question 2

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 3

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

Question 4

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 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 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 line segment cap b cap c is congruent to line segment cap p cap q

Question 5

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 6

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 7

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 8

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 9

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

Revolt · Accepted Answer

Image with description 2 Triangles L P K and Q R A are shown in which the side K P is congruent to side Q R, angle K P L is congruent to angle Q R A, and angle K L P is congruent to angle Q A R.

Question 10

Are the triangles congruent? Why or why not?

Revolt · Accepted Answer

Yes, they are congruent by either ASA or AAS.

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