Coordinate rules (Translation, Reflection, Rotation)

Flashcard
•
Mathematics
•
8th - 10th Grade
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a translation in coordinate geometry?
Back
A translation is a transformation that moves every point of a figure the same distance in a given direction.
Tags
CCSS.8.G.A.3
CCSS.HSG.CO.A.5
2.
FLASHCARD QUESTION
Front
How do you translate a point (x, y) three units to the left and two units down?
Back
The new coordinates will be (x - 3, y - 2). For example, translating (5, 5) results in (2, 3).
Tags
CCSS.8.G.A.3
CCSS.HSG.CO.A.5
3.
FLASHCARD QUESTION
Front
What is the result of reflecting a point (x, y) over the y-axis?
Back
The new coordinates will be (-x, y). For example, reflecting (3, 4) results in (-3, 4).
Tags
CCSS.8.G.A.3
CCSS.HSG.CO.A.5
4.
FLASHCARD QUESTION
Front
What happens to the coordinates of a point when it is rotated 90° clockwise about the origin?
Back
The new coordinates will be (y, -x). For example, rotating (2, 3) results in (3, -2).
Tags
CCSS.8.G.A.3
CCSS.HSG.CO.A.5
5.
FLASHCARD QUESTION
Front
What is the result of rotating a point (x, y) 180° about the origin?
Back
The new coordinates will be (-x, -y). For example, rotating (2, 3) results in (-2, -3).
Tags
CCSS.8.G.A.3
CCSS.HSG.CO.A.5
6.
FLASHCARD QUESTION
Front
If point A(2, 3) is reflected over the x-axis, what are the new coordinates?
Back
The new coordinates will be (2, -3).
Tags
CCSS.8.G.A.3
CCSS.HSG.CO.A.5
7.
FLASHCARD QUESTION
Front
What is the effect of a translation of (x, y) by (a, b)?
Back
The new coordinates will be (x + a, y + b). For example, translating (1, 1) by (2, 3) results in (3, 4).
Tags
CCSS.8.G.A.3
CCSS.HSG.CO.A.5
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