What are the coordinates of a point after a rotation of 180° clockwise around the origin?
Unit 9 Retest

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Mathematics
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10th Grade
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Hard
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1.
FLASHCARD QUESTION
Front
Back
To find the new coordinates after a 180° rotation, negate both the x and y coordinates of the original point. For example, if the original point is (x, y), the new coordinates will be (-x, -y).
2.
FLASHCARD QUESTION
Front
What is reflection over the x-axis?
Back
Reflection over the x-axis means that for any point (x, y), the new point after reflection will be (x, -y).
3.
FLASHCARD QUESTION
Front
What is reflection over the y-axis?
Back
Reflection over the y-axis means that for any point (x, y), the new point after reflection will be (-x, y).
4.
FLASHCARD QUESTION
Front
What is rotational symmetry?
Back
A shape has rotational symmetry if it can be rotated around a central point and still look the same at certain angles. For example, a circle has infinite rotational symmetry.
5.
FLASHCARD QUESTION
Front
What is the scale factor in dilation?
Back
The scale factor is a number that scales, or multiplies, the dimensions of a shape. A scale factor greater than 1 enlarges the shape, while a scale factor between 0 and 1 reduces it.
6.
FLASHCARD QUESTION
Front
How do you dilate a point by a scale factor?
Back
To dilate a point (x, y) by a scale factor k, multiply both coordinates by k. The new point will be (kx, ky).
7.
FLASHCARD QUESTION
Front
What is the effect of a 180° rotation on the coordinates (3, 2)?
Back
The new coordinates after a 180° rotation will be (-3, -2).
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