
Topic 7: Dilations and Similarity II
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
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.
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.
3.
FLASHCARD QUESTION
Front
If a figure is dilated by a scale factor greater than 1, what happens to its size?
Back
The figure becomes larger.
4.
FLASHCARD QUESTION
Front
If a figure is dilated by a scale factor less than 1, what happens to its size?
Back
The figure becomes smaller.
5.
FLASHCARD QUESTION
Front
How do you find the coordinates of a dilated point?
Back
Multiply the original coordinates by the scale factor.
6.
FLASHCARD QUESTION
Front
What is the algebraic rule for dilating a point (x, y) by a scale factor of k?
Back
(x, y) --> (kx, ky) where k is the scale factor.
7.
FLASHCARD QUESTION
Front
What is the scale factor if point A(4, 6) is dilated to point A'(2, 3)?
Back
The scale factor is 1/2.
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