Coordinate Dilations

A triangle has vertices with coordinates (2,0), (3, -1) and (-2,-5). If the triangle is dilated by a scale factor of 3 with the origin as the center of dilation, what are the coordinates of the vertices of the image?

• (5,3), (6,2), (1,-2)

• (6,0), (9,-3), (-6,-15)

• (2/3,0), (1,-1/3), (-2/3,-5/3)

• (-1,-3), (0,-4), (-5,-8)

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

• ½

• ¼

• 4

• 2

Which of the following are Dilations?

• (x, y) → (x, 3y)

• (x, y) → (3x, 3y)

• (x, y) → (x, y - 3)

• (x, y) → (.5x, .4y)

What is the scale factor if the triangle on the left is the original?

• 2

• 3/2

• 2/3

• 1/2

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)

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. 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)

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)

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

• a

• b

• c

• d

Dilate Point B by a scale factor of 1/2

• (1.5,-4)

• (-1.5,1)

• (-1,-1.5)

• (-2,-2)