Similar Figures & Dilations

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•
Mathematics
•
7th - 8th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What are similar figures?
Back
Similar figures are shapes that have the same shape but may differ in size. Their corresponding angles are equal, and their corresponding sides are in proportion.
2.
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 center point and a scale factor.
3.
FLASHCARD QUESTION
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 less than 1 reduces it.
4.
FLASHCARD QUESTION
Front
If triangle ABC is similar to triangle DEF, what can be said about their corresponding angles?
Back
The corresponding angles of similar triangles are equal.
5.
FLASHCARD QUESTION
Front
If two triangles are similar, how are their corresponding sides related?
Back
The lengths of the corresponding sides of similar triangles are proportional.
6.
FLASHCARD QUESTION
Front
What is the algebraic rule for dilating a point (x, y) by a scale factor of k?
Back
The algebraic rule for dilating a point (x, y) by a scale factor of k is (x, y) --> (kx, ky).
7.
FLASHCARD QUESTION
Front
If point C is at (2, 3) and is dilated by a scale factor of 3, what are the coordinates of C'?
Back
C' will be at (6, 9).
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