12/5 Dilations Warm Up

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Quizizz Content
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Mathematics
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8th Grade
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Hard
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15 questions
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1.
FLASHCARD
Front
What is a dilation in geometry?
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
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
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
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
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
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
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.
8.
FLASHCARD
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 during the dilation.
9.
FLASHCARD
Front
How do you determine the image of a polygon after dilation?
Back
To find the image, multiply each vertex's coordinates by the scale factor.
10.
FLASHCARD
Front
What is the effect of a negative scale factor in dilation?
Back
A negative scale factor not only changes the size of the figure but also reflects it across the center of dilation.
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