Grade 12 Math: Reflection on a Coordinate Plane

This worksheet focuses on understanding and performing reflections of geometric figures on a coordinate plane, including reflections across axes and various lines.

Grade 12 Math GeometryReflection on a Coordinate Plane

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Includes

Multiple Choice2 Short AnswerFill in the BlanksTrue / False

Standards

CCSS.MATH.CONTENT.HSG.CO.A.2CCSS.MATH.CONTENT.HSG.CO.A.5

Topics

MathGeometryReflectionCoordinate PlaneGrade 12

7 sections · Free to use · Printable

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Grade 12 Math: Reflection on a Coordinate Plane

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Read each question carefully and follow the instructions. Show all your work for full credit.

1. What are the coordinates of the image of point P(3, -5) after a reflection across the x-axis?

(3, 5)

(-3, -5)

(-3, 5)

(5, -3)

2. Graph the triangle with vertices A(1, 2), B(4, 2), and C(3, 5). Then, reflect the triangle across the y-axis and state the coordinates of the reflected vertices A', B', and C'.

A' =

B' =

C' =

3. A reflection is a transformation that uses a line like a mirror to reflect a figure. This line is called the of reflection.

4. When a point (x, y) is reflected across the line y = x, its image is ( ).

5. Reflecting a figure across the x-axis changes the sign of the x-coordinate.

True

False

6. A square has vertices at D(-2, 1), E(2, 1), F(2, 5), and G(-2, 5). If the square is reflected across the line y = -1, what are the coordinates of the new vertices D', E', F', and G'?