Dilations and Similarity

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

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

Tags

CCSS.8.G.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

How does a dilation change the angles of a polygon?

• It changes by the scale factor.
• Dilations do not change the angles.
• It is impossible to answer this question.  The angles change unpredictably.
• The angles all change to larger angles.

Tags

CCSS.8.G.A.3

Choose the correct scale factor:

• 2
• 3
• 1/3
• 1/2

Tags

CCSS.7.G.A.1

Figure D´E´F´G´ is a dilation with center (0, 0) of figure DEFG. What is the scale factor?

Tags

CCSS.8.G.A.3

Rectangle ABCD is dilated by a scale factor of 1/2 with the center at B. What are the coordinates of point D?

• (6,4)

• (3,2)

• (4,7)

• (12,8)

Tags

CCSS.8.G.A.3

Are the triangles similar?

• Yes

• No

Tags

CCSS.HSG.SRT.A.2

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

Rajesh is making pennants in preparation for a school soccer game. He wants the pennants to be similar triangles. Which of these triangles could he use for the pennants?

• QRS and TVW

• QRS and XYZ

• TVW and JKL

• TVW and XYZ

Tags

CCSS.HSG.SRT.A.2

Find the value of x, and use it to find KM.

• x = 10, KM = 25

• x = 11, KM = 28

• x = 13.3 KM = 34.9

• x = 4.3, KM = 8

Tags

CCSS.HSG.SRT.B.4