Dilations
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
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 produces an image that is the same shape as the original, but is a different size. It is defined by a center point and a scale factor.
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 the 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
If a point B (4,9) is dilated with a scale factor of 2, what are the coordinates of the image?
Back
(8,18)
Tags
CCSS.8.G.A.3
4.
FLASHCARD QUESTION
Front
What happens to the coordinates of a point when it undergoes a dilation with a scale factor of r?
Back
The new coordinates (x', y') are found by multiplying the original coordinates (x, y) by the scale factor r: (x', y') = (r*x, r*y).
Tags
CCSS.8.G.A.3
5.
FLASHCARD QUESTION
Front
Is a dilation always a congruence transformation?
Back
No, a dilation is not a congruence transformation because it does not preserve size; it changes the size of the figure.
Tags
CCSS.HSG.CO.A.2
6.
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 during the dilation.
Tags
CCSS.8.G.A.3
7.
FLASHCARD QUESTION
Front
If the scale factor is 1/2, what happens to the size of the figure?
Back
The figure is reduced to half its original size.
Tags
CCSS.8.G.A.3
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