Dilations

Flashcard
•
Mathematics
•
7th Grade
•
Hard
+2
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a dilation in geometry?
Back
A dilation is a transformation that changes the size of a figure but not its shape. It involves a scale factor and a center of dilation.
Tags
CCSS.8.G.A.3
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. A scale factor greater than 1 enlarges the figure, while a scale factor between 0 and 1 reduces it.
Tags
CCSS.8.G.A.3
3.
FLASHCARD QUESTION
Front
How do you find the coordinates of a dilated point?
Back
To find the coordinates of a dilated point, multiply the original coordinates by the scale factor. For example, if the original point is (x, y) and the scale factor is k, the new coordinates will be (kx, ky).
Tags
CCSS.8.G.A.3
4.
FLASHCARD QUESTION
Front
What happens to the coordinates of a point when it is dilated by a scale factor of 1?
Back
When a point is dilated by a scale factor of 1, its coordinates remain unchanged.
Tags
CCSS.8.G.A.3
5.
FLASHCARD QUESTION
Front
What is the center of dilation?
Back
The center of dilation is a fixed point in the plane about which all points are expanded or contracted during a dilation.
Tags
CCSS.8.G.A.3
6.
FLASHCARD QUESTION
Front
If a triangle has vertices at (2, 3), (4, 5), and (6, 1), what are the new coordinates after a dilation by a scale factor of 2?
Back
The new coordinates will be (4, 6), (8, 10), and (12, 2).
Tags
CCSS.8.G.A.3
7.
FLASHCARD QUESTION
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.
Tags
CCSS.8.G.A.3
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