Similarity Geometry

Triangle ABC is similar to Triangle EFD. What scale factor is required to dilate triangle ABC so that its image, A'B'C' is congruent to triangle EFD?

• 2/5

• 1/2

• 2

• 3

Is Line BC parallel to Line DE?

• Yes, because the sides are proportional creating similar triangles

• No, because the sides are not proportional therefore the triangles are not similar

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.

Triangle ABC can be taken to Triangle A'B'C' using rigid motions and a dilation. Select the true equation:

Is Line BC parallel to Line DE?

• Yes, because the sides are proportional

• No, because the sides are not proportional

Triangle DEF is formed by connecting the midpoints of the sides of Triangle ABC. The lengths of DEF are shown. What are 2 things you know for sure about side BC?

• BD is perpendicular to DE

• BC is parallel to DF

• BA is 8 units

• BC is 8 units

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

The length of Segment EF is 4 units and the length of Segment ED is 5 units. find the length of segments FA.

• 4

• 3

• 16/3

• 25/4