What is a dilation in geometry?
Dilations

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Mathematics
•
7th - 8th 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 scale factor.
2.
FLASHCARD QUESTION
Front
What does the scale factor indicate in a dilation?
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 between 0 and 1 reduces it.
3.
FLASHCARD QUESTION
Front
If a triangle has vertices at (2, 3), (4, 5), and (6, 7), what are the coordinates after a dilation with a scale factor of 1/2?
Back
The new coordinates will be (1, 1.5), (2, 2.5), and (3, 3.5).
4.
FLASHCARD QUESTION
Front
What is the rule for dilating a point (x, y) by a scale factor of 3?
Back
The rule is (x, y) → (3x, 3y).
5.
FLASHCARD QUESTION
Front
How do you determine if a dilation is an enlargement or a reduction?
Back
If the scale factor is greater than 1, it is an enlargement. If the scale factor is between 0 and 1, it is a reduction.
6.
FLASHCARD QUESTION
Front
What are the coordinates of point C' if point C is at (1, 2) and the scale factor is 2?
Back
The coordinates of C' will be (2, 4).
7.
FLASHCARD QUESTION
Front
What is the effect of a scale factor of 1 on a figure?
Back
A scale factor of 1 means the figure remains the same size; it does not change.
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