WorksheetsU8 L6 Line Dilations
Total questions: 20
Worksheet time: 2hrs 40mins
After dilations, angles are ....
similar
congruent
smaller
larger
A dilation produces a congruent figure
True
False
A line segment is dilated by a scale factor of 2 centered at a point not on the line segment. Which statement regarding the relationship between the given line segment and its image is true?
The line segments are perpendicular, and the image is one-half of the length of the given line segment.
The line segments are perpendicular, and the image is twice the length of the given line segment.
The line segments are parallel, and the image is twice the length of the given line segment.
The line segments are parallel, and the image is one-half of the length of the given line segment
The line whose equation is 3x – 5y = 4 is dilated by a scale factor of 5/3 centered at the origin. Which statement is correct?
The image of the line has the same slope as the pre-image but a different y-intercept.
The image of the line has the same y-intercept as the pre-image but a different slope.
The image of the line has the same slope and the same y-intercept
as the pre-image.
The image of the line has a different slope and a different y-intercept from the pre-image.
A line that passes through the points whose coordinates are (1,1) and (5, 7) is dilated by a scale factor of 3 and centered at the origin. The image of the line
is perpendicular to the original line
is parallel to the original line
passes through the origin
is the original line
A three-inch line segment is dilated by a scale factor of 6 and centered at its midpoint. What is the length of its image?
9 inches
2 inches
15 inches
18 inches
Line segment A'B' whose endpoints are (4, -2) and (16, 14) is the image of AB after a dilation of 1/2 centered at the origin. What is the length of AB?
5
10
20
40
The line 3y = -2x + 8 is transformed by a dilation centered at the origin. Which linear equation could be its image?
2x + 3y = 5
2x - 3y = 5
3x + 2y = 5
3x - 2y = 5
In the diagram below, CD is the image of AB after a dilation of scale factor k with center E. Which ratio is equal to the scale factor k of the dilation?
EC : EA
BA : EA
EA : BA
EA : EC
After a dilation with center (0, 0) the image of DB is D'B'. If DB = 4.5 and D'B' = 18, the scale factor of this dilation is
1/5
5
1/4
4
State the coordinate of the image of the given point B (4,9) under a dilation with center at the origin with the given scale factor of 2.
B' (2 , 4.5)
B' (-8 ,-18)
B' (8 ,18)
B' (9 ,4)
The line represented by the equation 4y = 3x+7 is transformed by a dilation centered at the origin. Which linear equation could represent its image?
3x - 4y = 9
3x + 4y = 9
4x - 3y = 9
4x + 3y = 9
A(3,3) B(6,6) C(9,3)
