Triangle Similarity: AA Assignment

Given: XY || ZW Prove: △XYV ~ △ZWV 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.

1. YXV 2. WZV 3. congruent 4. vertical 5. AA

Triangle ABC is similar to triangle A'B'C'. Which sequence of similar transformations could map △ABC onto △A'B'C'?

dilation and translation

Triangle DEF is similar to triangle D'E'F'. Which similarity transformation could map △DEF to △D'E'F'?

rotation and dilation

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 _______.

translation left dilation with center C'

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

∠B ≅ ∠M △ABC was rotated and dilated by a scale factor between 0 and 1. ∠C ≅ ∠L

The composition DO,0.75(x,y) ∘ DO,2(x,y) is applied to △LMN to create △L''M''N''. Which statements must be true regarding the two triangles? Check all that apply.

∠M ≅ ∠M'' △LMN ~ △L''M''N'' The coordinates of vertex N'' are (3, -1.5).

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

♣ = All right angles are congruent ♦ = Angle FGH is congruent to angle KGJ ♠ = AA similarity theorem

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

B

Given: m∠B = 46°; m∠C = 45°; m∠R = 46°;m∠T = 89° Prove: △ABC ~ △TRS Melissa believes that the AA similarity theorem can prove that the triangles are similar. Which fact would be necessary in the proof?

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