Geometry Similarity Review

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

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.SRT.A.1

CCSS.HSG.SRT.A.2

CCSS.HSG.SRT.A.3

CCSS.HSG.SRT.B.5

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

Tags

CCSS.HSG.SRT.A.1

CCSS.HSG.SRT.A.2

CCSS.HSG.SRT.A.3

CCSS.HSG.SRT.B.5

Is Line BC parallel to Line DE?

• Yes, because the sides are proportional

• No, because the sides are not proportional

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.GPE.B.5

CCSS.HSG.SRT.A.2

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

Tags

CCSS.HSG.GPE.B.5

CCSS.HSG.SRT.A.2

CCSS.HSG.SRT.A.3

CCSS.HSG.SRT.B.4

CCSS.HSG.SRT.B.5

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

Tags

CCSS.HSG.CO.C.10

CCSS.HSG.SRT.B.4

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

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.SRT.A.1

CCSS.HSG.SRT.A.2

CCSS.HSG.SRT.B.5

Tags

CCSS.HSG.SRT.A.1

CCSS.HSG.SRT.A.2

CCSS.HSG.SRT.A.3

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

Tags

CCSS.HSG.SRT.D.11

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

Tags

CCSS.HSG.SRT.A.2

CCSS.HSG.SRT.A.3

CCSS.HSG.SRT.B.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

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

CCSS.HSG.CO.A.1

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8