Similarity of Triangles

Given AC = 6, what sequence of transformations takes triangle AED to Triangle ABC?

• Dilate Triangle ADE using Center A and scale factor 1/2, then reflect over Line AD

• Dilate Triangle ADE using Center A and scale factor 2, then reflect over Line AC

• Rotate Triangle ADE clockwise around center A, then dilate by scale factor 3/2

• Reflect Triangle ADE over Line AD, then dilate using center E by scale factor 3/2

Given a rectangle with right triangles inside, which triangle are similar to triangle AED? Select ALL that apply.

Is Line BC parallel to Line DE?

• Yes, because the sides are proportional

• No, because the sides are not proportional

Find the length of DF, or state what additional information is needed to determine this length.

• To determine DF, we need the perimeter of both triangles

• To determine DF, we need the length of DE

• DF = 7

• DF = 5

What is the similarity statement for the triangle pair?

The triangles are similar, find AE. Hint: Redraw as 2 triangles.

The two triangles are similar.

Solve for x. 

Which theorem or postulate shows that these triangles are similar?

• AA

• SAS

• SSS

• Not Similar

Are these triangles similar? If yes, write a similarity statement and determine if it is by SSS, SAS, or AA. Show all work.