Dilations Practice

Which of the following rules represents a dilation?

• (x, y) --> (3x, 3y)

• (x, y) --> (3x, 2y)

• (x, y) --> (x - 3, y + 5)

• (x, y) --> (3x, 0.5y)

Tags

CCSS.8.G.A.3

CCSS.8.G.A.4

Does the transformation show an enlargement or a reduction?

• Enlargement

• Reduction

Tags

CCSS.8.G.A.3

CCSS.8.G.A.4

Trapezoid A’B’C’D’ is the dilation of trapezoid ABCD after a scale factor of r.

Which statement is false?

• The area of the image is r times bigger than the area of the preimage

• The side lengths of the image are r times longer than the preimage.

• The side lengths in the preimage are parallel to the corresponding side lengths in the image.

• The area of the image is r² times bigger than the area of the preimage.

Triangle A’B’C’ is the dilation of triangle ABC.

Which algebraic representation shows this dilation?

• (x, y) --> (2x, 2y)

• (x, y) --> (1/3x, 1/3y)

• (x, y) --> (3x, 3y)

• (x, y) --> (x + 3, y - 3)

Tags

CCSS.8.G.A.3

CCSS.8.G.A.4

Rectangle EFGH is dilated by the rule (x, y) → (2.5x, 2.5y).  If the coordinates for point E are (-6, 8), what is the location of point E'?

• (-3.5, 10.5)
• (2.5, 2.5)
• (-12, 16)
• (-15, 20)

Tags

CCSS.8.G.A.3

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

• ½

• ¼

• 4

• 2

Tags

CCSS.8.G.A.3

CCSS.8.G.A.4

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

If Point A(-4, -1) is dilated by a scale factor of 2 and then translated by the rule (x + 4, y - 1), which point is the correct coordinated for A''?

• (-4, -3)

• (-8, -2)

• (-12, -3)

• (-3, -4)

Tags

CCSS.8.G.A.3

Which of the following describes the image of a figure after a dilation that has a scale factor between zero and one?

• It has a different shape from the original figure and is smaller than the original figure.

• It has the same shape as the original and is smaller than the original figure.

• It has the same shape as the original and is larger than the original figure.

• It has the same shape and same size as the original figure.

Tags

CCSS.8.G.A.3

CCSS.8.G.A.4

Which of the following describes the image of a square after a dilation that has a scale factor of 6?

• Its sides are 6 units longer than those of the original square.

• Its sides are 1/6 as long as those of the original square.

• Its sides are 6 times as long as those of the original square.

• Its sides are 6 units shorter than those of the original square.

Tags

CCSS.8.G.A.3

CCSS.8.G.A.4