Unit 3: Practice Test

Triangle WXY can be taken to triangle W’X’Y’ using rigid motions and dilations. Select all the equations that are true.

Tags

CCSS.HSG.SRT.A.2

Is line BC parallel to line MN? Choose the best justification.

• Line BC is parallel to line MN because triangle ABC is a dilation of triangle AMN by a scale factor of 4 from point A.

• Line BC is parallel to line MN because triangle ABC is a dilation of triangle AMN by a scale factor of 3 from point A.

• Line BC is parallel to line MN because triangle ABC is a dilation of triangle AMN by a scale factor of 4/3 from point A.

• Line BC is not parallel to line MN because there is no dilation that sends triangle ABC to triangle AMN.

Tags

CCSS.HSG.SRT.A.2

CCSS.8.G.A.4

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

• 3

Tags

CCSS.HSG.SRT.A.2

CCSS.8.G.A.4

Find the length of DF or state what additional information you would need to find it.

Tags

CCSS.HSG.SRT.A.2

What do the properties of dilations tell you about angle A'?

Tags

CCSS.HSG.SRT.A.2

CCSS.8.G.A.4

Here is a rectangle with some right triangles inside it.

Which triangles are similar to triangle AED?

• AED

• DCE

• EBA

• AFE

• EFD

Tags

CCSS.HSG.SRT.A.2

Extra credit

Here is rectangle with some right triangles inside it. The length of segment EF is 6 and the length of segment ED is 10.4. Find the length of FA.

Tags

CCSS.HSG.CO.C.11