Geometric Transformations
Flashcard
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Mathematics
•
9th - 12th Grade
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a geometric transformation?
Back
A geometric transformation is an operation that moves or changes a shape in a specific way, including translations, rotations, reflections, and dilations.
Tags
CCSS.8.G.A.3
CCSS.HSG.CO.A.5
2.
FLASHCARD QUESTION
Front
What is a rotation in geometry?
Back
A rotation is a transformation that turns a shape around a fixed point, called the center of rotation, by a certain angle.
Tags
CCSS.8.G.A.3
CCSS.HSG.CO.A.5
3.
FLASHCARD QUESTION
Front
What are the coordinates of a point after a 90-degree counterclockwise rotation?
Back
If a point (x, y) is rotated 90 degrees counterclockwise, its new coordinates will be (-y, x).
Tags
CCSS.8.G.A.3
CCSS.HSG.CO.A.5
4.
FLASHCARD QUESTION
Front
What is the rule for a 270-degree clockwise rotation?
Back
The rule for a 270-degree clockwise rotation is (x, y) → (-y, x).
Tags
CCSS.8.G.A.3
CCSS.HSG.CO.A.5
5.
FLASHCARD QUESTION
Front
What is dilation in geometry?
Back
Dilation is a transformation that changes the size of a shape but keeps its proportions the same, defined by a scale factor.
Tags
CCSS.8.G.A.3
6.
FLASHCARD QUESTION
Front
How do you find the image of a point after dilation?
Back
To find the image of a point (x, y) after dilation with a scale factor k, use the formula (kx, ky).
Tags
CCSS.8.G.A.3
7.
FLASHCARD QUESTION
Front
What happens to the coordinates of a point when reflected over the x-axis?
Back
When a point (x, y) is reflected over the x-axis, its new coordinates become (x, -y).
Tags
CCSS.8.G.A.3
CCSS.HSG.CO.A.5
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