Explain Dilation in Respect to Origin

A triangle is dilated with a center of dilation at the origin. Point P is on the figure and P' is the corresponding point on the image of the dilation. Point P is at (-2,3) and P' is at (-8,12). What is the scale factor?

• 2

• 4

• 6

• 9

Tags

CCSS.8.G.A.3

Choose the correct scale factor:

• 2

• 3

• 1/3

• 1/2

Tags

CCSS.HSG.CO.A.2

Dilate the 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

After dilations, the sides of the figure are...

• always smaller

• always larger

• the same

• proportional

Tags

CCSS.8.G.A.3

Which function was used to produce the image?

• f(x, y) = (1/7x, 1/7y)

• f(x, y) = (7x, 7y)

• f(x, y) = (4x, 4y)

• f(x, y) = (8x, 8y)

Tags

CCSS.HSG.CO.A.2

• A

• B

• C

• D

Tags

CCSS.HSG.CO.A.2

Describe the similarity transformation that maps to (dilations have a center at the origin).

• a dilation with a scale factor of 2 followed by a translation 4 units right and 3 units down.

• a dilation with a scale factor of 1 / 2 followed by a translation 4 units left and 3 units up.

• Translation 4 units right and 3 units down followed by a dilation with a scale factor 2.

• Translation 4 units left and 3 units up followed by a dilation with a scale factor 1 / 2.

Tags

CCSS.8.G.A.4

CCSS.HSG.SRT.A.2

How do you write the algebraic notation when the scale factor is 1/2?

• (x, y) −> (2x, 2y)

• (x, y) −> (1/2x, 1/2y)

• (x, y) −> (-2x, -2y)

• (x, y) −> (2x, 1/2y)

Tags

CCSS.8.G.A.3

Did the image enlarge, reduce or none of the above?

• Enlarge

• Reduce

• None of the above

Tags

CCSS.8.G.A.4

CCSS.HSG.SRT.A.2

First, identify the old and new image. Now, did the triangle get bigger or smaller?

• The triangle got smaller

• The triangle got bigger

Tags

CCSS.8.G.A.3