
A focused set of resources for teaching the three rigid motion transformations — translation (slide), reflection (flip), and rotation (turn) — of 2D shapes. Aligned to the Australian Curriculum v9.0 and Common Core, the resources support Years/Grades 5 through 8, with congruence, symmetry and orientation built in from the first lesson. For dilations, enlargements and coordinate-plane work, see our broader transformations resources.
Curriculum-aligned coverage of translation, reflection and rotation as the three rigid motions of 2D shapes — the framing used by the Australian Curriculum and Common Core. Each resource pairs the formal name (translation, reflection, rotation) with the everyday verb (slide, flip, turn) so students build vocabulary alongside the concept.
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Differentiated tasks that scaffold from concrete to abstract — sliding shapes along a grid, folding to find lines of reflection, then turning shapes around a centre of rotation by 90, 180 and 270 degrees.
Questions move from “describe the transformation that maps Shape A to Shape B” through to multi-step sequences. Because translation, reflection and rotation preserve size and shape, every item reinforces congruence — useful preparation for the congruent-triangles work that follows in later years.

Practice and assessment items covering congruence under rigid motions, symmetry, orientation, and identifying single and combined transformations from a diagram.
Teachers can introduce shape transformations with pattern blocks, tracing paper and grid-based moves before moving to coordinate-grid work in Years 7 and 8. Worked examples show the pre-image and image side-by-side, with arrows and notation that match how shape transformations are assessed.
Lower-primary students work with whole-shape moves and visual cues. Middle-years students describe transformations using direction, distance, axis of reflection, centre and angle of rotation. Extension prompts ask students to identify which rigid motion (or sequence of motions) maps one shape onto another.
- You in approximately four minutes
Translation, Reflection and Rotation Explained for the Classroom
Hands-On Shape Manipulation Before Coordinate Work
Identifying and Describing Transformations from a Diagram
The resources introduce each rigid motion separately before bringing them together. Translation moves every point of a shape the same distance in the same direction. Reflection flips a shape across a line, called the axis of reflection, producing a mirror image. Rotation turns a shape around a fixed point, the centre of rotation, by a given angle and direction (clockwise or anticlockwise). Worked examples on grid paper show the pre-image, the rule applied, and the resulting image so students can see what changes (position or orientation) and what stays the same (size and shape — the property of congruence).
Younger students start with pattern blocks, paper cut-outs and tracing paper so the physical action matches the language: slide for translation, flip for reflection, turn for rotation. From Year 6 onwards, the same shapes are moved on a coordinate grid, with vectors describing translations, axes (such as the x-axis, y-axis or the line y = x) describing reflections, and centres and angles describing rotations. This concrete-to-abstract sequence is the path recommended by the Mathematics Hub planning tools and used in most primary-to-middle-years classrooms.
The assessment items ask students to do two things that often appear on tests: identify which rigid motion has been performed when shown the pre-image and image, and describe it precisely (for translation: direction and distance; for reflection: the axis; for rotation: the centre, angle and direction). More challenging questions show a shape that has been transformed by a sequence of two motions and ask students to describe both. Each task reinforces that translation, reflection and rotation preserve congruence — the connection that ties shape transformations to the broader geometry curriculum.