Transformations on Coordinate Plane

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•
Mathematics
•
8th - 10th Grade
•
Hard
Standards-aligned
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1.
FLASHCARD QUESTION
Front
What is a transformation in the context of the coordinate plane?
Back
A transformation is an operation that moves or changes a shape in the coordinate plane, including translations, reflections, rotations, and dilations.
Tags
CCSS.HSG.CO.A.2
2.
FLASHCARD QUESTION
Front
Define translation in the coordinate plane.
Back
Translation is a transformation that slides a figure in a straight line from one position to another without changing its shape, size, or orientation.
Tags
CCSS.8.G.A.3
CCSS.HSG.CO.A.5
3.
FLASHCARD QUESTION
Front
What is reflection across the y-axis?
Back
Reflection across the y-axis is a transformation that flips a figure over the y-axis, changing the sign of the x-coordinates of the points.
Tags
CCSS.8.G.A.3
CCSS.HSG.CO.A.5
4.
FLASHCARD QUESTION
Front
What is the rule for reflecting a point (x, y) across the y-axis?
Back
The rule is (x, y) -> (-x, y).
Tags
CCSS.8.G.A.3
CCSS.HSG.CO.A.5
5.
FLASHCARD QUESTION
Front
Define rotation in the coordinate plane.
Back
Rotation is a transformation that turns a figure around a fixed point, known as the center of rotation, by a certain angle.
Tags
CCSS.8.G.A.3
CCSS.HSG.CO.A.5
6.
FLASHCARD QUESTION
Front
What is the rule for a 90° counterclockwise rotation around the origin?
Back
The rule is (x, y) -> (-y, x).
Tags
CCSS.8.G.A.3
CCSS.HSG.CO.A.5
7.
FLASHCARD QUESTION
Front
What is the effect of translating a point (x, y) by (x + 2, y - 1)?
Back
The new point will be (x + 2, y - 1), meaning it moves 2 units to the right and 1 unit down.
Tags
CCSS.8.G.A.3
CCSS.HSG.CO.A.5
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