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Coordinate Algebra: Reflecting Points

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Questions and Answers

What is the result of reflection across the x-axis?

(x, -y) (correct)
(x, y)
(y, x)
(-x, y)

What is the result of reflection across the y-axis?

(x, -y)
(-x, y) (correct)
(x, y)
(y, x)

Reflect the point (2, -3) across the x-axis.

(2, 3)

Reflect the point (-3, 2) across the y-axis.

(3, 2) Signup and view all the answers

Reflect the point (5, 7) over the x-axis.

(5, -7) Signup and view all the answers

Reflect the point (7, -8) over the x-axis.

(7, 8) Signup and view all the answers

Reflect the point (-2, -5) over the y-axis.

(2, -5) Signup and view all the answers

Reflect the point (10, -8) over the x-axis.

(10, 8) Signup and view all the answers

Reflect the point (-10, -11) over the y-axis.

(10, -11) Signup and view all the answers

Reflect the point (3, -7) over the x-axis.

(3, 7) Signup and view all the answers

Reflect the point (-1, 7) over the x-axis.

(-1, -7) Signup and view all the answers

Reflect the point (-5, 3) over the y-axis.

(5, 3) Signup and view all the answers

Reflect the point (-6, 7) over the x-axis.

(-6, -7) Signup and view all the answers

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Study Notes

Reflection Over Axes

Reflection across the x-axis transforms a point (x, y) to (x, -y).
Reflection across the y-axis changes a point (x, y) to (-x, y).

Examples of Reflection Across the X-axis

Reflecting (2,-3) results in (2,3).
Reflecting (5,7) gives (5,-7).
Reflecting (7,-8) yields (7,8).
Reflecting (-1,7) transforms to (-1,-7).
Reflecting (3,-7) leads to (3,7).
Reflecting (-2,-7) results in (-2,7).
Reflecting (-6,7) gives (-6,-7).
Reflecting (10,14) transforms to (10,-14).

Examples of Reflection Across the Y-axis

Reflecting (-3,2) results in (3,2).
Reflecting (2,-3) over the y-axis yields (-2,-3).
Reflecting (-2,-5) leads to (2,-5).
Reflecting (-5,-5) gives (5,-5).
Reflecting (7,10) results in (-10,7).
Reflecting (7,8) transforms to (-7,8).
Reflecting (3,-7) leads to (-3,-7).
Reflecting (15,-2) gives (-15,-2).
Reflecting (-10,-11) results in (10,-11).
Reflecting (-5,3) transforms to (5,3).

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