Triangle Similarity: AA

Question 1

Which sequence of similar transformations could map △ABC onto △A'B'C'?

Revolt · Accepted Answer

dilation and reflection

Question 2

rightvertical✔ congruent

Revolt · Accepted Answer

congruent

Question 3

corresponding✔ verticalsupplementary

Revolt · Accepted Answer

vertical

Question 4

SSS✔ AAHL

Revolt · Accepted Answer

AA

Question 5

Which statements must be true regarding the two triangles? Check all that apply.

Revolt · Accepted Answer

△LMN ≅ △L''M''N''

Question 6

Which similarity transformation could map △DEF to △D'E'F'?

Revolt · Accepted Answer

dilation and reflection

Question 7

Triangle XYZ was reflected across m and then dilated to form a similar triangle. Which triangle represents the image?

Revolt · Accepted Answer

[Image: Triangle X Y Z is reflected across line m and then...]

Question 8

Determine the similarity transformations that verify △ABC ~ △A''B''C'. The first transformation mapping △ABC to △A'B'C' is a . The second transformation mapping △A'B'C' to △A''B''C' is a .

Revolt · Accepted Answer

Selection 1: translation left; Selection 2: dilation with center C'

Question 9

Use the drop-down menus to complete the paragraph proof. We are given that XY is parallel to ZW. If XZ is a transversal that intercepts XY and ZW, angle and angle are alternate interior angles. Since XY is parallel to ZW, we know that these angles are . We also know that angle XVY and angle ZVW are angles, and thus congruent. We can conclude that △XYV ~ △ZWV using the similarity theorem.

Revolt · Accepted Answer

YXV; We are given that XY is parallel to ZW. If XZ is a transversal that intercepts XY and ZW, angle and angle are alternate interior angles. Since XY is parallel to ZW, we know that these angles are . We: YXV; We are given that XY is parallel to ZW. If XZ is a transversal that intercepts XY and ZW, angle and angle are alternate interior angles. Since XY is parallel to ZW, we know that these angles are . We: WZV; We are given that XY is parallel to ZW. If XZ is a transversal that intercepts XY and ZW, angle and angle are alternate interior angles. Since XY is parallel to ZW, we know that these angles are . We: congruent; We are given that XY is parallel to ZW. If XZ is a transversal that intercepts XY and ZW, angle and angle are alternate interior angles. Since XY is parallel to ZW, we know that these angles are . We: vertical; We are given that XY is parallel to ZW. If XZ is a transversal that intercepts XY and ZW, angle and angle are alternate interior angles. Since XY is parallel to ZW, we know that these angles are . We: AA

Question 10

Melissa believes that the AA similarity theorem can prove that the triangles are similar. Which fact would be necessary in the proof?

Revolt · Accepted Answer

The sum of the measures of the interior angles of a triangle is 180°.

Triangle Similarity: AA Answers

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