Dilations review

What is the name of the point from which a dilation is drawn?

• the origin of dilation

• the vertex

• the corner

• The center of dilation

Tags

CCSS.8.G.A.3

Triangle EFG is dilated with a scale factor of 1/2 to create triangle E'F'G'. The measure of angle F' is 36 degrees. What is the measure of angle F?

• 18 degrees

• 36 degrees

• 72 degrees

• 144 degrees

Tags

CCSS.8.G.A.3

A triangle has vertices at (1, 1), (1, 2), and (3, 2). It is dilated by a scale factor of 3 with the origin as the center of dilation to form a similar triangle. What are the coordinates of the vertices of the image?

• (4,1), (4,2), (6,2)

• (3,3), (3,6), (9,6)

• (1,4), (1,5), (3,5)

• (4,4), (4,6), (6,5)

Tags

CCSS.8.G.A.3

Which must be true of a scale factor of a dilation if the image is smaller than the original figure?

• The scale factor is between -1 and 0.

• The scale factor is positive.

• The scale factor is negative.

• The scale factor is between 0 and 1.

Tags

CCSS.8.G.A.3

A triangle is dilated with a center of dilation at the origin. Point P is on the figure and P' is the corresponding point on the image of the dilation. Point P is at (-2, 3) and P' is at(-8, 12). What is the scale factor?

• 2

• 9

• 4

• 6

Tags

CCSS.8.G.A.3

Triangle RED is the image that resulted from a dilation of triangle CAT. Which is the center of dilation?

• (0,0)

• C

• R

• D

Tags

CCSS.8.G.A.3

Rectangle ABCD is dilated to form rectangle A'B'C'D'. What is the dilation factor? What is the center of dilation? Select all that apply.

• center of dilation (1,2)

• dilatation factor of 1/2

• center of dilation (2,1)

• dilation of 2

Tags

CCSS.8.G.A.3

Given ∆RST is similar to ∆UVW with RT = 9 inches, UW = 5.4 inches, and RS = 6 inches. Which is the length of UV ?

• 8.1 inches

• 2.4 inches

• 3.6 inches

• 4 inches

Tags

CCSS.HSG.SRT.A.2

Suppose these statements about two triangles are true: ∠G = ∠S, ∠R = ∠T, and ∠M = ∠N. Which statement is correct? Select all that apply.

• The sides are proportional

• The sides are congruent

• ∆GRM is similar to ∆NST

Tags

CCSS.HSG.SRT.A.2