Dilations of Figures

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

CCSS.8.G.A.4

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

CCSS.8.G.A.4

Determine the correct algebraic representation of the similar figures shown.

• (x, y) -> (2x, 2y)

• (x, y) -> (.5x, .5y)

• (x, y) -> (x, 2y)

• (x, y) -> (.5x, y)

Tags

CCSS.8.G.A.1

CCSS.8.G.A.3

CCSS.8.G.A.4

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.8.G.A.3

CCSS.8.G.A.4

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

Choose the correct scale factor:

• 2
• 3
• 1/3
• 1/2

Tags

CCSS.8.G.A.3

State the coordinate of the image of the given point B (4,9) under a dilation with center at the origin with the given scale factor of 2.

• B' (2 , 4.5)

• B' (-8 ,-18)

• B' (8 ,18)

• B' (9 ,4)

Tags

CCSS.8.G.A.3

State the coordinates of the image of point C after a dilation with a scale factor of 1/2 and center point P.

• (-6, 1)
• (-3, -2)
• (1, -6)
• (-2, -3)

Tags

CCSS.8.G.A.3

CCSS.8.G.A.4

State the coordinates of the image of point B after a dilation with a scale factor of 2 and centered at point A.

• (-4,2)
• (-8,4)
• (-4,6)
• (-2,-2)

Tags

CCSS.8.G.A.3

CCSS.8.G.A.4

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