Dilations Given Scale Factor and Center

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)

Tags

CCSS.8.G.A.3

Which of the following are Dilations?

• (x, y) → (x, 3y)

• (x, y) → (3x, 3y)

• (x, y) → (x, y - 3)

• (x, y) → (.5x, .4y)

Tags

CCSS.8.G.A.3

Does the image show a dilation?

• Yes

• No

Tags

CCSS.HSG.CO.A.2

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

• 2

• 3/2

• 2/3

• 1/2

Tags

CCSS.7.G.A.1

In the figure above, a dilation from A to A' has occurred. What is the scale factor?

scale factor = _______

Mathematical Equivalence

ON

Tags

CCSS.8.G.A.3

In the diagram below, CD is the image of AB after a dilation of scale factor k with center E. Which ratio is equal to the scale factor k of the dilation?

• EC : EA

• BA : EA

• EA : BA

• EA : EC

Tags

CCSS.8.G.A.3

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

• (3,4)

• (6,8)

• (0,0)

• (10,2)

• (-3, -4)

• (0,0)

• (5,1)

• (0, -10)

• (0, -5)

• (-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

The table describes two dilations with the center of dilation at the origin. Which rule describes each dilation?

Tags

CCSS.HSG.CO.A.2

The table describes two dilations with the center of dilation at the origin. Which rule describes each dilation?

Tags

CCSS.HSG.CO.A.2

In the figure above, a dilation from A to A' has occurred. What is the scale factor?

Mathematical Equivalence

ON

Tags

CCSS.8.G.A.3