Dilations and Scale Factor Practice

Quadrilateral WXYZ was dilated with the origin as the center to create quadrilateral W’X’Y’Z’. Which rule best represents the dilation that was applied to quadrilateral WXYZ to create quadrilateral W’X’Y’Z’?

• (x, y) --> (0.4x, 0.4y)

• (x, y) --> (x + 3, y + 2)

• (x, y) --> (2.5x, 2.5y)

• (x, y) --> (x - 3, y - 2)

Tags

CCSS.8.G.A.3

Triangle E’F’G’ is a dilation of triangle EFG. Which rule best represents the dilation shown?

• (x, y) --> (2x, 2y)

• (x, y) --> (0.5x, 0.5y)

• (x, y) --> (x + 2, y - 2)

• (x, y) --> (2x, 0.5y)

Tags

CCSS.HSG.CO.A.2

Triangle ABC is dilated by a scale factor of one-half to form Triangle A’B’C’ with the origin as a center of dilation. Which rule represents this dilation?

• (x, y) --> (2x, 2y)

• (x, y) --> (1/2x, 1/2y)

• (2x, 2y) --> (x, y)

• (x, y) --> (1/3x, 1/3y)

Tags

CCSS.8.G.A.3

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

• ½

• ¼

• 4

• 2

Tags

CCSS.8.G.A.3

If the blue polygon is the original image, find the scale factor and determine if it is a reduction or enlargement.

• It's a reduction; the scale factor is 2.

• It's an enlargement; the scale factor is 2.

• It's an enlargement; the scale factor is 1/2.

• It's a reduction; the scale factor is 1/2.

Tags

CCSS.7.G.A.1

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'(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

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

• (x, y) goes to (1/3x, 1/3y)

• (x, y) goes to (-3x, -3y)

• (x, y) goes to (x + 3, y + 3)

• (x, y) goes to (3x, 3y)

Tags

CCSS.8.G.A.3

The __________ is the ratio of a length of the new figure to the corresponding length on the original figure.

• reduction

• enlargement

• scale factor

• center of dilation

Tags

CCSS.7.G.A.1

Triangle ABC will be dilated by a scale factor of 1/2.  What will be the coordinates of C'?

• (-1, -2.5)

• (12, 6)

• (3, -1.5)

• (0, 1.5)

Tags

CCSS.8.G.A.3

What is the scale factor in the algebraic representation
(x,y) to (2x,2y)

• k=2

• k=1/2

• k=2.2

• k=0.5

Tags

CCSS.7.G.A.1