Dilations Around a Point

Dilate the figure by a scale factor of 3 with the origin as the center of dilation. What are the coordinates of the image?

A(3,3) B(6,6) C(9,3)

• A'(9,9) B'(18,18) C'(27,9)

• A'(6,6) B'(9,9) C'(12,6)

• A'(0,0) B'(3,3) C'(6,0)

• A'(1,1) B'(2,2) C'(3,1)

Tags

CCSS.8.G.A.3

State the coordinate of the image of the given point B (-10,-6) under a dilation with center at the origin with the given scale factor k = 1/2.

• (5,3)

• (20,12)

• (-20,-12)

• (-5,-3)

Tags

CCSS.8.G.A.3

Choose the correct scale factor:

• 2

• 3

• 1/3

• 1/2

Tags

CCSS.HSG.CO.A.2

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

• ½

• ¼

• -4

• -2

Tags

CCSS.8.G.A.3

Dilate Point B by a scale factor of 1/2

• (1.5,-4)

• (-1.5,1)

• (-1,-1.5)

• (-2,-2)

Tags

CCSS.8.G.A.3

Dilate Point B by a scale factor of 3:

• (12,0)

• (12,12)

• (4,3)

• (0,12)

Tags

CCSS.8.G.A.3

A dilation is which of the following:

• only an enlargement

• only a reduction

• Either an enlargement or a reduction

• Neither an enlargement or a reduction

Tags

CCSS.8.G.A.3

Does the image show a dilation?

• Yes

• No

Tags

CCSS.HSG.CO.A.2

How do you write the algebraic notation for a dilation when the scale factor is 3?

• (x, y) → (1/3x, 1/3y)

• (x, y) → (-3x, -3y)

• (x, y) → (x + 3, y + 3)

• (x, y) → (3x, 3y)

Tags

CCSS.8.G.A.3

How do you write the algebraic notation when the scale factor is 1/2?

• (x, y) → (2x, 2y)

• (x, y) → (1/2x, 1/2y)

• (x, y) → (-2x, -2y)

• (x, y) → (2x, 1/2y)

Tags

CCSS.8.G.A.3