Dilation BASICS
Flashcard
•
Mathematics
•
8th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is dilation in geometry?
Back
Dilation is a transformation that alters the size of a figure but keeps its shape the same. It involves a scale factor and a center of dilation.
2.
FLASHCARD QUESTION
Front
What is a scale factor in dilation?
Back
The scale factor is a number that scales, or multiplies, the dimensions of a figure during dilation. 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 point A(2, 3) is dilated by a scale factor of 2, what are the coordinates of the image A'?
Back
A'(4, 6) - Each coordinate is multiplied by the scale factor.
4.
FLASHCARD QUESTION
Front
What happens to the shape of a figure during dilation?
Back
The shape of the figure remains the same; only the size changes.
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 of the figure are expanded or contracted.
6.
FLASHCARD QUESTION
Front
If B(5, 3) under a dilation has an image B'(20, 12), what is the scale factor?
Back
The scale factor is 4, calculated as k = (20/5) = 4.
7.
FLASHCARD QUESTION
Front
What is the difference between enlargement and reduction in dilation?
Back
Enlargement occurs when the scale factor is greater than 1, while reduction occurs when the scale factor is between 0 and 1.
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