Triangle Similarity: AA Answers

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

rotation of 90 degrees about B'reflection across A'B'✔ dilation with center C'translation left

SSS similarity theoremASA similarity theorem✔ AA similarity theoremSAS similarity theorem

corresponding✔ verticalsupplementary

SSS✔ AAHL

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

Given: FH ⊥ GH; KJ ⊥ GJ Prove: ΔFHG ~ ΔKJG Identify the steps that complete the proof. ♣ = ♦ = ♠ =

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

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

What additional information could be used to prove that △ABC ~ △NML? Check all that apply.

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 .

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.

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

YVXZVW✔ WZV

♣ = ♦ = ♠ =

rightvertical✔ congruent