What is a dilation in geometry?

Dilations QC 1.6 Review

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Mathematics
•
KG - University
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
A dilation is a transformation that changes the size of a figure but not its shape, using a center of dilation and a scale factor.
2.
FLASHCARD QUESTION
Front
What does the scale factor in a dilation represent?
Back
The scale factor indicates how much the figure is enlarged or reduced. A scale factor greater than 1 enlarges the figure, while a scale factor less than 1 reduces it.
3.
FLASHCARD QUESTION
Front
If a point A(x, y) is dilated by a scale factor of k, what is the new point A'?
Back
A' = (kx, ky)
4.
FLASHCARD QUESTION
Front
What happens to the coordinates of a point when it is dilated by a scale factor of 2?
Back
The coordinates of the point are doubled.
5.
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.
6.
FLASHCARD QUESTION
Front
If the coordinates of point A are (4, 6) and it is dilated by a scale factor of 3, what are the coordinates of A'?
Back
A' = (12, 18)
7.
FLASHCARD QUESTION
Front
True or False: A dilation with a scale factor of 0.5 is an enlargement.
Back
False, it is a reduction.
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