What is a dilation in geometry?
Dilations Warm Up

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•
Mathematics
•
9th - 12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
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 does the notation (x, y) → (kx, ky) represent in dilations?
Back
This notation represents a dilation where each coordinate (x, y) of a point is multiplied by a scale factor k.
3.
FLASHCARD QUESTION
Front
If a triangle is dilated by a scale factor greater than 1, what type of transformation occurs?
Back
An enlargement occurs when a triangle is dilated by a scale factor greater than 1.
4.
FLASHCARD QUESTION
Front
If a triangle is dilated by a scale factor less than 1, what type of transformation occurs?
Back
A reduction occurs when a triangle is dilated by a scale factor less than 1.
5.
FLASHCARD QUESTION
Front
How do you find the coordinates of a point after dilation?
Back
Multiply the original coordinates of the point by the scale factor.
6.
FLASHCARD QUESTION
Front
What are the coordinates of point C (3, -1) after a dilation by a scale factor of 2?
Back
The coordinates of point C' would be (6, -2).
7.
FLASHCARD QUESTION
Front
What is the scale factor if the original point C (3, -1) is dilated to C' (1.5, -0.5)?
Back
The scale factor is 0.5.
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