Dilate Line Segment

In the coordinate plane, segment PQ is the result of a dilation of segment XY by a scale factor of 1/2.

Which point is the center of dilation?

• ( -4, 0 )

• ( 0, -4 )

• ( 0, 4 )

• ( 4, 0 )

Tags

CCSS.8.G.A.3

The segment AB is dilated to create the segment A'B'.

What are the coordinates of the center of the dilation?

• ( 5, 7 )

• ( 8, 1 )

• ( 0, 4 )

• ( -1, 4 )

Tags

CCSS.8.G.A.3

If you were to dilate line AB using point C as the center of dilation, which of the below would best describe the newly created image? (You may assume that the scale factor is not 1.)

• A line segment

• A ray

• A line that is parallel to line AB

• A line that is in the same place as line AB

Tags

CCSS.HSG.CO.A.2

The smaller triangle is transformed to create the larger triangle. Which of these is the scale factor of the dilation centered at the point (0, 0)?

• 4

• 2

• 1

• 1/2

Tags

CCSS.HSG.CO.A.2

Tags

CCSS.8.G.A.3

If the triangle at the right were to be dilated using a scale factor of 1/2 , which is the only triangle below that could represent the transformed image?

• A

• B

• C

• D

Tags

CCSS.8.G.A.3

Does the image show a Dilation?

• Yes

• No

Tags

CCSS.HSG.SRT.A.2

CCSS.8.G.A.4

Triangle ABC has vertices A (-2, 2), B (2, 4) and C (3, -1).  What are the coordinates of A' after a dilation by a scale factor of 2.5?

• (-5, 5)

• (5, -5)

• (5, 10)

• (7.5, -2.5)

Tags

CCSS.8.G.A.3

If a line segment has a length of 12 units and after a dilation the image length is 4 units, what was the scale factor?

• 3

• 1/3

• 8

Tags

CCSS.8.G.A.3

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