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MathematicsGeometryAges 7–11

Congruent shapes and objects by matching

Identify congruent side lengths, angles and faces by matching them physically (tracing, overlaying, folding, comparing with a strip, fitting faces together) or mentally, within and between two-dimensional shapes and three-dimensional objects, and decide whether two shapes or two objects are congruent: the same size and the same shape, whatever their position or orientation (matching one face alone does not make two objects congruent)

Lesson

Set out your lesson

“Congruent shapes and objects by matching means practising the idea at the table with counters or paper models and one clear check. We will demo once, then your child tries.”

Bring to the table

  • Paper shapes or a ruler and pencil
  • Shape name cards
Extra for the adult

Worked example. A rectangle has four right angles. Naming the property is the check.

Optional challenge. For Congruent shapes and objects by matching, add one harder example after success.

What to notice. Keep one parent note: examples tried; results; support used. This session samples Congruent shapes and objects by matching, not mastery.

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Gakuva activity

Congruent shapes and objects by matching practice

Practice key ideas from Congruent shapes and objects by matching.

Free · no login · no ads · Practice answers and completion are not saved. Parent observation remains the lesson record.

Learning resources

Extra practice links — they do not replace Gakuva’s teaching approach.

BBC Bitesize · Practice link — not the full lesson

KS3 Maths

Open practice (new tab)
Before you open · source notes

KS3 Maths supports Congruent shapes and objects by matching. An adult previews and guides; this is a learning page, not a scored quiz.

Free educational page, no sign-in required for the tested path.

Before you open

Ask the learner one fact they learned and one question they still have.

Opening this link does not save learning or assess mastery.

Source, access and review notes

Public BBC Bitesize page. An anonymous GET on 2026-11-12 returned HTTP 200 with no login or payment prompt for this URL. Opening the link does not save practice or assess mastery. An adult should preview and guide the learner.

BBC Bitesize. “KS3 Maths.” External page; Gakuva does not copy, host, embed, or redistribute materials.

Unknown — link only

Check understanding

  • Find the sides of equal length and the matching angles within a shape (e.g. a rectangle's opposite sides and four corners), and trace one shape onto another to decide whether every side and angle matches, explaining why a turned copy is congruent but a larger one is not
  • Match the faces, edges and corner angles of two 3-D models (e.g. two boxes or two prisms) by tracing faces or fitting them together, and say which faces, edges and angles are congruent
  • Decide whether two 3-D objects are congruent by checking that all corresponding faces match and are arranged the same way, explaining why two boxes with the same front face but different depths are not congruent
“If your child has two boxes or two paper shapes, can they match the sides, corners and faces to check whether they are exactly the same size and shape — and notice when two boxes look the same from the front but are not?”

Curriculum record

Type
Conceptual
Subject
Mathematics
Domain
Geometry
Age range
Ages 7–11

Standards

the-ontario-curriculum-mathematics-2020:ON-MATH-2020-G2-E1.3the-ontario-curriculum-mathematics-2020:ON-MATH-2020-G3-E1.3the-ontario-curriculum-mathematics-2020:ON-MATH-2020-G5-E1.2the-ontario-curriculum-mathematics-2020:ON-MATH-2020-G5-E2.3