What is a dilation in geometry?
13.2 Dilations

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Mathematics
•
8th - 10th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
A dilation is a transformation that alters the size of a figure but not its shape, using a center of dilation and a scale factor.
2.
FLASHCARD QUESTION
Front
What is the scale factor in a dilation?
Back
The scale factor is a number that describes how much a figure is enlarged or reduced during a dilation.
3.
FLASHCARD QUESTION
Front
If a point (x, y) is dilated by a scale factor of k, what are the new coordinates?
Back
The new coordinates will be (kx, ky).
4.
FLASHCARD QUESTION
Front
What happens to the coordinates of a point when it is dilated by a scale factor greater than 1?
Back
The coordinates of the point will increase, making the figure larger.
5.
FLASHCARD QUESTION
Front
What happens to the coordinates of a point when it is dilated by a scale factor between 0 and 1?
Back
The coordinates of the point will decrease, making the figure smaller.
6.
FLASHCARD QUESTION
Front
How do you find the scale factor when given the original and dilated points?
Back
Divide the coordinates of the dilated point by the corresponding coordinates of the original point.
7.
FLASHCARD QUESTION
Front
What is the center of dilation?
Back
The center of dilation is the fixed point in the plane about which all points are expanded or contracted.
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