Dilations Find the Coordinates

Which of the following are Dilations?

• (x, y) → (x, 3y)

• (x, y) → (3x, 3y)

• (x, y) → (x, y - 3)

• (x, y) → (.5x, .4y)

Does the image show a dilation?

• Yes

• No

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)

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

• 2

• 3/2

• 2/3

• 1/2

Quadrilateral MNOP is dilated using a scale factor of 1/3, with the origin as the center of dilation, to produced quadrilateral M'N'O'P'. Find the coordinates of M', N', O' and P'

M( 3, 9) → M'​ (a)  

N(6, 0) → N'​ (b)  

O(3, -6) → O'​ (c)  

P(-3, 0) → P'​ (d)  

• (9, 27)

• (3, 0)

• (1, 2)

• (1, 3)

• (2, 0)

• (1, -2)

• (-1, 0)

• (-3, 0)

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

Does the image show a Dilation?

• Yes

• 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. 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)