Dilations Practice

Which of the following algebraic rules represents a dilation?

• (x, y) --> (3x, 3y)

• (x, y) --> (3x, 2y)

• (x, y) --> (x - 3, y + 5)

• (x, y) --> (0.5x, 0.5y)

• (x, y) --> (3x, 0.5y)

Tags

CCSS.HSG.CO.A.2

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

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.HSG.CO.A.2

Trapezoid A’B’C’D’ is the dilation of trapezoid ABCD.

Which algebraic representation shows this dilation?

• (x, y) --> (2x, 2y)

• (x, y) --> (0.5x, 0.5y)

• (2x, 2y) --> (x, y)

• (x, y) --> (3x, 2y)

Tags

CCSS.HSG.CO.A.2

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

CCSS.8.G.A.4

Pentagon ABCDE is dilated to create Pentagon A'B'C'D'E'.  Point A is at (5, 2) and point A' is at (8, 3.2).  Which rule best describes this dilation?

• (x, y) → (8x, 3.2y)
• (x, y) → (0.625x, 0.625y)
• (x, y) → (x+3, y+1.2)
• (x, y) → (1.6x, 1.6y)

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?

(Think...did it get bigger or smaller? Can you eliminate based on that? )

• ½

• ¼

• 4

• 2

Tags

CCSS.8.G.A.3

CCSS.8.G.A.4

A dilation always produces a similar figure. Similar figures have the same ______ but different ______. 

• measure; shapes
• sizes; shapes
• value; measures
• shape; sizes

Tags

CCSS.8.G.A.3

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

Which of the following describes the sequence of transformations shown?

• Reflect across the x-axis and then rotate -90 degrees cw around the origin

• Rotate 90 degrees cw around the origin and then translate down.

• Reflect across the x-axis and then reflect across the y-axis.

• Translate up and then rotate 90 degrees ccw about the origin.

Tags

CCSS.8.G.A.3