 Dilations and Lines Practice Terms of Use    Contact Person: Donna Roberts  1.
Given line m and point O not on line m. The image of line m is constructed through a dilation centered at O with a scale factor of 3. Which of the following statements best describes the image of line m?
Choose:
 a line passing through point O a line intersecting with line m a line parallel to line m a line perpendicular to line m

2.
Line is dilated with a center of dilation at A and a scale factor of 2. Which of the following statements will be true about and its image ?

Choose:
 The slope of will be twice the slope of . The slope of will be half the slope of . The slope of will be two more than the slope of . The slope of will be the same as the slope of .

 3 Trapezoid ABCD is dilated about the origin by a scale factor of ½ creating trapezoid A'B'C'D'. Which of the following statements is true about and ? Choose:
 The lines intersect and have negative slopes. The lines are perpendicular and have negative reciprocal slopes. The lines are parallel and have equal slopes. The lines are parallel and have reciprocal slopes.

4.
Point O is not on . When is dilated with the center of the dilation at O with a positive scale factor, image is shorter than . What must be true about the scale factor?

Choose:
 The scale factor is k > 1. The scale factor is 0 < k < 1. The scale factor is k = 1. The lengths of and are not related to scale factor k.

5.
If AB = 16 inches and is dilated by
a scale factor of , find A'B'.

Choose:
 16 inches 32 inches 2 feet 2.5 feet 6. , shown at the right, is dilated with a dilation centered at the origin and a scale factor of . Which of the following statements regarding is NOT true?

Choose: will be parallel to . AB = • A'B' is an enlargement of . Coordinates of A' will be (-5, 2.5). 7.
Given with point D on as shown below. A dilation on D is centered at A with a scale factor of 2. Determine if the following statements are TRUE or FALSE. a) D' lies on line .
 TRUE FALSE
b) D' lies between A and D.
 TRUE FALSE
c) D' lies on .
 TRUE FALSE
d) D' is 16 units from A.
 TRUE FALSE
e) BD' = 8 units
 TRUE FALSE

8. has coordinates B (0,-3) and
C (4,3). Under a dilation, its image has coordinates B' (2,-3) and C' (4,0).

a) What is the center of the dilation?
Choose:
 (0,1) (5,-2) (-3,3) (4,-3)

b) Are the segments parallel?
Choose:
 Yes No 9.
A line is to be dilated. The center of dilation does not lie on the line. The scale factor is ½. Which of the following statements is TRUE about the resulting image of the line?

Choose:
 The image is half the length of the line. The image is parallel to the line. The image is perpendicular to the line. The image intersects the line.

10.  For the scaled line shown below, determine the image points which
represent the dilations.  T R Y A G M R A M T R Y E Y G A O T Y A NOTE: The re-posting of materials (in part or whole) from this site to the Internet is copyright violation and is not considered "fair use" for educators. Please read the "Terms of Use".