Applying the Scale Factor to Coordinates

Dilate a figure by a scale factor of 3 with the origin as the center of dilation. What are the coordinates of the image?

• 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

Calculate the coordinates of A' after applying a scale factor of 1/2 if the center of dilation is @ (1, -2).

• (3, -5)

• (4, 3)

• (-1, -6)

• (-4, 0)

Tags

CCSS.8.G.A.3

• A
• B
• C
• D

Tags

CCSS.HSG.CO.A.2

The corresponding point for a pre- image that has one vertice at ( 2, 3) and a scale factor of 2 would be at (4, 6).

• True in all cases. It doesn't matter where the center of dilation is located. You simply multiply the coordinates by the scale factor. 

• False. You can't use the scale factor to find the coordinates of the corresponding vertice.

• True, assuming that the center of dilation is at the origin.

• False, the corresponding vertice would have coordinates of (4, 5)

Tags

CCSS.8.G.A.3

Choose the correct scale factor:

• 2

• 3

• 1/3

• 1/2

Tags

CCSS.HSG.CO.A.2

Which rule would dilate shows a scale factor of 4

• (x, y) → (y, x)

• (x, y) → (x + 4, y + 4)

• (x, y) → (x, -y)

• (x, y) → (4x, 4y)

Tags

CCSS.HSG.CO.A.2

Choose the correct scale factor:

• 2

• 3

• 1/3

• 1/2

Tags

CCSS.HSG.CO.A.2

Match the following dilations by a scale factor of 1/2.

• (0,0)

• (0, -10)

• (0, -5)

• (10,2)

• (-3, -4)

• (6,8)

• (5,1)

• (0,0)

• (3,4)

• (-6,-8)

Answer explanation

Note that 0/2 is still 0

so (0,0) dilated by 1/2 is still at (0,0)

(0,-10) dilated by a 1/2 is at

(0, -5)

Tags

CCSS.8.G.A.3

• (x,y) becomes (3x,3y)
• (x,y) becomes (1/3x, 1/3y)
• (x,y) becomes (3+x, 3+y)
• (x,y) becomes (x-1/3, y-1/3)

Tags

CCSS.HSG.CO.A.2

Quadrilateral NDMP was dilated to make N'D'M'P'. What was the scale factor?

• 2

• 3

• 1/3

• 1/2

Tags

CCSS.8.G.A.3