Math Problem Statement

Point AA is located at left parenthesis, minus, 3, comma, 5, right parenthesis(−3,5) on the coordinate plane. Point AA is reflected over the yy-axis to create point A, primeA ′ . Point A, primeA ′ is then reflected over the xx-axis to create point A, start superscript, prime, prime, end superscriptA ′′ . What ordered pair describes the location of A, start superscript, prime, prime, end superscript, question markA ′′ ?

Solution

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Math Problem Analysis

Mathematical Concepts

Geometry
Coordinate Geometry
Reflections

Formulas

Reflection over the y-axis: (x, y) -> (-x, y)
Reflection over the x-axis: (x, y) -> (x, -y)

Theorems

Reflection Theorem: Reflecting a point across the y-axis negates the x-coordinate.
Reflection Theorem: Reflecting a point across the x-axis negates the y-coordinate.

Suitable Grade Level

Grades 6-8