Grade 12 Math: Reflections Worksheet

Grade 12 Math: Reflections Worksheet

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'?

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.

2. The orientation of a figure is preserved after a reflection.