1. Fill in the blank using the dropdown to make the statement true.
The scale factor of a dilation is------------
the x-coordinate representing the center of dilation
the ratio between the transformed size and the original size of the object.
the sum of the transformed size and the original size of the object
the difference between the transformed size and the original size of the object
2. 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?
A. The line segments are parallel, and the image is one-half the length of the given line segment.
B. The line segments are perpendicular, and the image is one-half the length of the given line segment.
C. The line segments are parallel, and the image is twice the length of the given line segment.
D. The line segments are perpendicular, and the image is twice the length of the given line segment.
3. Given line m and point O that is 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 best describes the image of line m?
A. a line perpendicular to line m
B. a line intersecting with line m
C. a line parallel to line m
D. a line passing through point O
4. Which statement is true about a dilation?
A. A dilation is a non-rigid motion.
B. A dilation does not preserve angle measures.
C. A dilation is a rigid motion.
D. A dilation preserves distance.
5. A plane contains a line m and a point O that is not online m. The image of line m is constructed through a dilation centered at O with a scale factor of 1.5. If the distance from O to the image is 6 feet, what is the distance from O to line m?
A. 3 feet
B. 9 feet
C. 8 feet
D. 4 feet
1. the ratio between the transformed size and the original size of the object.
2. C. The line segments are parallel, and the image is twice the length of the given line segment.
3. C. a line parallel to line m
4. D. A dilation preserves distance.
5. B. 9 feet