Dilations on a Coordinate Plane

State the coordinate of the image of the given point G (-10,-6) under a dilation with center at the origin with the given scale factor of 1/2.

• G' (5,3)

• G' (20,12)

• G' (-20,-12)

• G' (-5,-3)

A dilation is given by the transformation (x, y) → (3.5x, 3.5y). What is the scale factor?

• 3/5

• 3.5

• 5/3

• 1/3.5

The table describes two dilations with the center of dilation at the origin. Which rule describes each dilation? Move the correct answer to each box in the table. Not all answers will be used.

a

b

Tags

TEKS 8.3C

Dilate the triangle by a scale factor of 1/2. What are the coordinates of B'?

• (3/2, -4)

• (-3/2,1)

• (-1,-3/2)

• (-2,-2)

Dilate Point A by a scale factor of 1/2

• (-4,-4)

• (-1,-4)

• (-1,-1)

• (-2,-2)

• (x, y) --> (x+4, y)

• (x, y) --> (2x, 2y)

• (x, y) --> (0.3x, 0.3y)

The table describes two dilations with the center of dilation at the origin. Which rule describes each dilation? Move the correct answer to each box in the table. Not all answers will be used. A triangle is dilated by a scale factor of 1/2. ​ (a)   ​ A square is dilated by a scale factor of 2. ​ ​ ​ ​ (b)  

• (x, y) → (x + 2, y + 2)

• (x, y) → (−x, −y)

Does the image show a Dilation?

• Yes

• No

Does the image show a Dilation? If yes, did the image enlarge, reduce or none of the above?

• Yes, enlarge

• Yes, reduce

• No

The table describes two dilations with the center of dilation at the origin. Which rule describes each dilation? Move the correct answer to each box in the table. Not all answers will be used. A triangle is dilated by a scale factor of 1/2. ​ (a)   ​ A square is dilated by a scale factor of 2. ​ ​ ​ ​ (b)  

• (x, y) → (x + 2, y + 2)

• (x, y) → (−x, −y)