Reflecting in Lines Parallel to the Axes WORKSHEET

Suitable for Year groups: Year 8, Year 9
GCSE Tier: Foundation
Targeting grades: 1-3
Prerequisite knowledge: Reflecting shapes across vertical and horizontal mirror lines. Graphing lines with equations 𝑦 = a and 𝑥 = b.
Learning Objective: Identify properties of, and describe the results of reflections applied to given figures.

Reflecting in Lines Parallel to the Axes WORKSHEET DESCRIPTION

This worksheet develops students’ understanding of reflections in lines parallel to the coordinate axes. Learners begin by sorting equations into vertical, horizontal, and diagonal lines, reinforcing how different line equations are structured. They then practise reflecting shapes and points in a variety of lines such as 𝓍 = -3 and 𝑦 = 2, and other constant-value equations, using coordinate grids to visualise how each image relates to its object.

Tasks progress from reflecting entire shapes to reflecting points and pattern spotting—for example, how the perpendicular distance from an object to the mirror line is the same horizontal or vertical distance from the mirror line to its image.

The worksheet finishes with multi-step coordinate problems where students determine missing values after reflections, helping them consolidate fluency with geometric transformations and coordinate reasoning.

All worksheets are created by the team of experienced teachers at Cazoom Maths.

Frequently Asked Questions

Identify properties of, and describe the results of reflections applied to given figures.