Lines of symmetry
Complete a simple symmetric figure with respect to a specific line of symmetry
Lesson
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Complete a reflected figure using equal perpendicular distances from the mirror line.
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Complete a reflected figure using equal perpendicular distances from the mirror line.
Complete a reflected figure using equal perpendicular distances from the mirror line.
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Learning resources
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Illustrative Mathematics · Practice link — not the full lesson
Lines of symmetry for quadrilaterals
Before you open · source notes
Quadrilaterals are checked for lines of symmetry by folding or matching halves. Not every rotational 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 draw or name one line of symmetry on a quadrilateral, or say when there is none.
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 2026-11-12 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. “Lines of symmetry for quadrilaterals.” 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
- Given half a butterfly shape and a mirror line, complete the other half on a grid
- Complete a symmetric pattern on squared paper with a vertical line of symmetry
- Check a completed figure by folding along the mirror line
“If you show your child half a shape drawn on squared paper with a mirror line marked, can they draw the missing half so the whole shape is perfectly symmetrical?”
Curriculum record
- Type
- Procedural
- Subject
- Mathematics
- Domain
- Geometry
- Age range
- Ages 6–10
Standards