Grade 12 Math: Reflections Worksheet
Explore reflections in the coordinate plane, including reflections across axes, lines, and the origin, with this Grade 12 math worksheet.
Includes
Standards
Grade 12 Math: Reflections Worksheet
Name:
Date:
Score:
Read each question carefully and provide your answers in the space provided. Show all your work for full credit.
1. Given the point A(3, -5), find the coordinates of its image after a reflection across the x-axis. Plot both the original point and its image on the coordinate plane below.
2. Point B(-2, 7) is reflected across the y-axis. Determine the coordinates of B'. Plot both points.
1. When a point (x, y) is reflected across the origin, its image is ( , ).
2. The point C(4, -1) is reflected across the origin to form C'. The coordinates of C' are .
1. If a point P(a, b) is reflected across the line y = x, what are the coordinates of its image P'?
(-a, -b)
(a, -b)
(b, a)
(-b, -a)
1. A triangle with vertices D(1, 2), E(4, 2), and F(2, 5) is reflected across the line y = -1. Find the coordinates of the vertices of the image triangle D'E'F'.
2. Reflect the point G(-3, -4) across the line x = 2. What are the coordinates of G'?
1. A reflection is an isometry, meaning it preserves distance and angle measure.
True
False
2. The orientation of a figure is preserved after a reflection.
True
False