What is a dilation in geometry?
12/5 Dilations Warm Up

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Mathematics
•
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 and a center of dilation.
2.
FLASHCARD QUESTION
Front
What does the scale factor indicate in a dilation?
Back
The scale factor indicates how much larger or smaller the image will be compared to the original figure. 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 figure is dilated by a scale factor of 3, what happens to its coordinates?
Back
Each coordinate (x, y) of the figure is multiplied by 3, resulting in new coordinates (3x, 3y).
4.
FLASHCARD QUESTION
Front
What are the coordinates of point A(3,3) after a dilation by a scale factor of 3?
Back
A'(9,9) because (3*3, 3*3) = (9, 9).
5.
FLASHCARD QUESTION
Front
What happens to a polygon when it is dilated by a scale factor less than 1?
Back
The image of the polygon becomes smaller than the original polygon.
6.
FLASHCARD QUESTION
Front
What is the result of the dilation transformation (x, y) --> (2x, 2y)?
Back
This transformation doubles the size of the figure, making it larger.
7.
FLASHCARD QUESTION
Front
If a triangle is dilated by a scale factor of 2, how does its area change?
Back
The area of the triangle increases by a factor of 2^2 = 4.
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