Dilations and Similar Figures

To find the height of a very tall pine tree, you place a mirror on the ground and stand where you can see the top of the pine tree.  How tall is the tree?

• 144 feet
• 72 feet
• 36 feet

Tags

CCSS.HSG.SRT.B.5

Which side length corresponds with EF?

• ML
• LM
• OL
• EH

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

Find the height of the tree.

• 8 ft
• 12 ft
• 13 ft
• 15 ft

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

The point (8, 12) was dilated to become point (2, 3). What was the scale factor?

• ½
• ¼
• 4
• 2

Tags

CCSS.HSG.SRT.A.1

A dilation always produces a similar figure. Similar figures have the same ______ but different ______. 

• measure; shapes
• sizes; shapes
• value; measures
• shape; sizes

Tags

CCSS.HSG.SRT.A.1

CCSS.HSG.SRT.A.2

CCSS.HSG.SRT.B.5

Determine the correct algebraic representation of the similar figures

• (x, y) -> (.5x, .5y)

• (x, y) -> (2x, 2y)

• (x, y) -> (x + 2, y + 2)

• (x, y) -> (x - .5, y - .5)

Tags

CCSS.HSG.SRT.A.1

CCSS.HSG.SRT.A.2

CCSS.HSG.SRT.A.3

Triangle ABC is dilated to produce triangle A'B'C' with scale factor 3/4 . Which describes the relationship between the two triangles?

• Triangle A'B'C' is an enlargement of triangle ABC

• Triangle A'B'C' is a reduction of triangle ABC

• Triangle A'B'C' is a mirror image of triangle ABC

Tags

CCSS.HSG.SRT.A.1

CCSS.HSG.SRT.A.2

CCSS.HSG.SRT.A.3

Which must be true of a scale factor of a dilation if the image is smaller that the pre-image?

• The scale factor is positive

• The scale factor is greater than 1

• The scale factor is between 0 and 1

• The scale factor is negative

Tags

CCSS.8.G.A.3