Practice Page
Directions: Read carefully!

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

Choose:
The slope of A'B'line will be twice the slope of lineab.
The slope of A'B'line will be half the slope of lineab.
The slope of A'B'line will be two more than the slope of lineab.
The slope of A'B'line will be the same as the slope of lineab.

 

 

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 lineaband A'B'line ?
ditrap2
 
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 ab. When ab is dilated with the center of the dilation at O with a positive scale factor, image A'B' is shorter than ab. 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 ab and A'B' are not related to scale factor k.

 

 

5.
If AB = 16 inches and ab is dilated by
a scale factor of 3halves, find A'B'.

Choose:
16 inches
32 inches
2 feet
2.5 feet
LineAB

 

 

6.
ab, shown at the right, is dilated with a dilation centered at the origin and a scale factor of 5halfs. Which of the following statements regarding ab is NOT true?

Choose:
ab will be parallel to A'B'.
AB = 5halfs• A'B'
A'B' is an enlargement of ab.
Coordinates of A' will be (-5, 2.5).
diltesegment

 

 

7.
Given lineab with point D on lineab 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.
PracLine
a) D' lies on linelineab.
TRUE
FALSE
b) D' lies between A and D.
TRUE
FALSE
c) D' lies on ab.
TRUE
FALSE
d) D' is 16 units from A.
TRUE
FALSE
e) BD' = 8 units
TRUE
FALSE

 

 

8.
BCbig has coordinates B (0,-3) and
C (4,3). Under a dilation, its image B'C' 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
prac8graph

 

 

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.

diline2
line1
T
R
Y
A
line2
G
M
R
A
line3
M
T
R
Y
line6
E
Y
G
A
line5
O
T
Y
A

 

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