2-D shapes (age 8+)
Identify lines of symmetry in 2-D shapes presented in different orientations; recognise line-symmetric figures and draw lines of symmetry
Lesson
Set out your lesson
Test mirror symmetry rather than merely count corners.
Before teaching
Ask the learner to explain one prerequisite idea before starting. If uncertain, revisit it; graph order is not learner readiness.
Check readiness rather than assuming source graph order establishes attainment.
Share and support
Family records and proof options
Keep a record of your learning
Save photos, notes, and attendance. Export a proof packet for compliance or portfolio reviews.
Learning resources
Extra practice links — they do not replace Gakuva’s teaching approach.
Illustrative Mathematics · Practice link — not the full lesson
Finding Lines of Symmetry
Before you open · source notes
Shapes are checked for lines of symmetry by folding or matching halves. Emphasise reflection lines, not every rotation symmetry.
Free, no sign-in. A teacher solution is on the same page, so use the student view with your child.
Before you openAsk the learner to find one line of symmetry on a shape and explain the matching halves.
Opening this link does not save learning or assess mastery.
Source, access and review notes
Public Illustrative Mathematics task page. The .html address responds HTTP 308 to this URL. An anonymous GET of this URL on 2026-11-11 returned HTTP 200 with no login or payment prompt. Where a teacher solution is present, it is on the same page as the student task; this check did not find a separate locked student view. An adult can use the student view section and should not read a solution aloud. Advertising was not observed in the fetched HTML text; that is not a browser, device, or ad-free guarantee. This is a paper or discussion task, not an automatically marked interactive game. Opening the link does not save practice or assess mastery. Diagrams on the page use missing or filename-only alt text, so they are not an accessible image equivalent. Accessibility still depends on an adult describing the picture.
Illustrative Mathematics. “Finding Lines of Symmetry.” Licensed CC BY-NC-SA 4.0. External task; Gakuva does not copy, host, embed, or redistribute it.
CC BY-NC-SA 4.0 — link only
Check understanding
- Find all lines of symmetry in a rectangle, a square, an equilateral triangle and a regular hexagon
- Decide whether shapes shown in different orientations are line-symmetric, identifying those with exactly one line of symmetry and those with none
- Draw all lines of symmetry on a given figure
“If your child is given a picture of a butterfly or a star shape, can they draw the line (or lines) where you could fold it exactly in half so both sides match?”
Curriculum record
- Type
- Conceptual
- Subject
- Mathematics
- Domain
- Geometry
- Age range
- Ages 7–12
Standards