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.8.G.A.3

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

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

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

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 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

Choose the correct scale factor:

• 2
• 3
• 1/3
• 1/2

Tags

CCSS.HSG.CO.A.2

Polygon A'B'C'D'E' is a dilation of polygon ABCDE, with the origin as the center of dilation. 

Which of the following is the scale factor that was used to create the dilation?

• $4$

• $2$

• $\frac{1}{2}$

• $\frac{1}{4}$

Tags

CCSS.8.G.A.3

Quadrilateral W'X'Y'Z' is a dilation of quadrilateral WXYZ, with the origin as the center of dilation.

Which of the following is true?

• The side lengths of W'X'Y'Z' are twice the length of WXYZ.

• The side lengths of W'X'Y'Z' are one-half the length of WXYZ.

• The corresponding angles of W'X'Y'Z' are twice the measure of the angles in WXYZ.

• The side lengths of W'X'Y'Z' are one-fourth the length of WXYZ.

Tags

CCSS.8.G.A.3

 $\Delta A'B'C'$  is a dilation of  $\Delta ABC$  , with the origin as the center of dilation. 

If A represents the area of  $\Delta ABC$  , which of the following could be used to calculate the area of  $\Delta A'B'C'$  ?

•  $A\cdot\left(\frac{1}{4}\right)^2$  

•  $A\cdot\left(\frac{1}{4}\right)^4$  

•  $4\cdot A$  

•  $4^2\cdot A$  

Tags

CCSS.7.G.A.1