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 )

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 )

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

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

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

Does the image show a Dilation?

• Yes

• No

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)

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

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)