Unit 5 Dilation, Triangle Similarity and Slope Test

Select all pairs of triangles that must be similar.

• Triangle 3 has angles 30° and 70°. Triangle 4 has angles 30° and 70°.

• Triangle 5 has angles 25° and 100°. Triangle 6 has angles 25° and 55°.

• Triangle 7 has angles 80° and 70°. Triangle 8 has angles 10° and 80°.

• Triangle 9 has angles 115° and 15°. Triangle 10 has angles 130° and 10°.

• Triangle 1 has angles 50°, 60°, and 70°. Triangle 2 has angles 50°, 60°, and 70°.

Tags

CCSS.HSG.SRT.A.2

What is the slope of this line?

• 2

• 1/2

• -2

• -1/2

Tags

CCSS.8.EE.B.5

CCSS.8.EE.B.6

CCSS.8.F.B.4

CCSS.8.SP.A.3

Which of Polygons B, C, D, and E are similar to Polygon A? Select all that apply.

• Polygon B

• Polygon C

• Polygon D

• Polygon E

• Polygon A

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Describe a sequence of transformations that take Polygon A to Polygon E.

• A dilation and then a translation.

• A rotation and then a translation.

• A reflection, a dilation, and then a translation.

• A rotation and then a reflection.

Tags

CCSS.8.G.A.3

Triangles ABC and DEF are similar. Segment AB is 3 units long. Segment AC is 6 units long. Segment BC is 4.5 units long. Segment DE is 4.8 units long. Find the length of segment DF.

• 6.6 units

• 8.4 units

• 7.4 units

• 9.6 units

Tags

CCSS.HSG.SRT.A.2

Triangles ABC and DEF are similar. Segment AB is 3 units long. Segment AC is 6 units long. Segment BC is 4.5 units long. Segment DE is 4.8 units long. Find the length of segment EF.

• 12.8 units

• 7.2 units

• 5.6 units

• 12.4 units

Tags

CCSS.HSG.SRT.A.2

All of the points in the picture are on the line. Find the slope of the line.

• 3

• 1/3

• -3

• -1/3

Tags

CCSS.8.EE.B.6

CCSS.8.F.B.4

All of the points are on the same line. Write an equation for the slope of the line using points (2, 1) and point (x, y).

Tags

CCSS.8.EE.B.6

CCSS.8.F.B.4

All of the points are on the same line. All of the points in the picture are on the same line. Find a and b.

• a = 4, b = 6

• a = 6, b = 4

• a = 3, b = 7

• a = 10, b = 3

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

CCSS.8.F.B.4

CCSS.8.SP.A.2

If Pentagon ABCDE is dilated about the origin with a scale factor of 5 into Pentagon A'B'C'D'E', what coordinate pair describes the location of Point B'?

• (35, 30)

• (−9, 18)

• (14, 12)

• (7, 6)

Tags

CCSS.8.G.A.3