Dilations and Rotations
Flashcard
•
Mathematics
•
8th 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 and a center of dilation.
2.
FLASHCARD QUESTION
Front
What does a scale factor of 2 mean in a dilation?
Back
A scale factor of 2 means that each point of the figure is moved away from the center of dilation by a distance that is twice as far as its original distance.
3.
FLASHCARD QUESTION
Front
How do you perform a dilation with the origin as the center?
Back
To perform a dilation with the origin as the center, multiply the coordinates of each point by the scale factor.
4.
FLASHCARD QUESTION
Front
What is the effect of a scale factor less than 1 in a dilation?
Back
A scale factor less than 1 reduces the size of the figure, making it smaller.
5.
FLASHCARD QUESTION
Front
What is the angle of rotation for a 90-degree clockwise rotation?
Back
A 90-degree clockwise rotation moves points in a circular direction to the right, changing their coordinates accordingly.
6.
FLASHCARD QUESTION
Front
How do you determine the new coordinates after a 180-degree rotation about the origin?
Back
For a 180-degree rotation, the new coordinates (x', y') are given by (-x, -y) for each point (x, y).
7.
FLASHCARD QUESTION
Front
What is the relationship between clockwise and counterclockwise rotations?
Back
Clockwise rotations move points in a rightward circular direction, while counterclockwise rotations move points in a leftward circular direction.
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