Congruence and similarity (8300 - Higher - Geometry and measures)

Topic:Congruence and similarity

Specification references (in recommended teaching order)

Specification content Specification notes
G5
  • Use the basic congruence criteria for triangles (SSS, SAS, ASA, RHS)


    G6
    • Apply angle facts, triangle congruence, similarity and properties of quadrilaterals to conjecture and derive results about angles and sides including the base angles of an isosceles triangle are equal, and use known results to obtain simple proofs


      G19
      • Apply and use the concepts of congruence and similarity, including the relationships between lengths, areas and volumes in similar figures



        The subject content (above) matches that set out in the Department for Education’s Mathematics GCSE subject content and assessment objectives document.

        The expectation is that:

        • All students will develop confidence and competence with the content identified by standard type
        • All students will be assessed on the content identified by the standard and the underlined type; more highly attaining students will develop confidence and competence with all of this content
        • Only the more highly attaining students will be assessed on the content identified by bold type. The highest attaining students will develop confidence and competence with the bold content.

        Teaching resources

        Teaching resources - see below
        Downloadable resource in format. 29/08/2014

        Diagnostic Questions - congruence and similarity 1
        AQA have teamed up with Craig Barton's Diagnostic Questions website to share free diagnostic questions assessment for our new 2017 GCSE Maths specification.21/07/2017
        Diagnostic Questions - congruence and similarity 2
        AQA have teamed up with Craig Barton's Diagnostic Questions website to share free diagnostic questions assessment for our new 2017 GCSE Maths specification.21/07/2017
        Diagnostic Questions - congruence and similarity 3
        AQA have teamed up with Craig Barton's Diagnostic Questions website to share free diagnostic questions assessment for our new 2017 GCSE Maths specification.21/07/2017

        GCSE Bitesize: Congruent and Similar Shapes
        An introduction to congruence and similarity with worked examples, including the SSS, SAS, ASA and RHS conditions and the effect of enlargement on area and volume.04/08/2015

        Congruence, Similarity and Enlargement Quiz
        Powerpoint for class use or as self-test. The questions cover congruence, similarity and the effect of enlargement on perimeter, area and volume. You will need to register for a TES account to access this resource, this is free of charge. 04/08/2015
        Maths is Fun: Congruent
        An introduction to what is meant by congruent shapes and how congruence differs from similarity. Ten online questions available for practise. 04/08/2015
        National STEM Centre: Congruence and Similarity
        Two investigative activities which could be used as a starter or a whole lesson activity. Included is the consideration of the ambiguous triangle case. You will need to register for an account to access this resource, this is free of charge. 04/08/2015
        Similar Triangles Challenge Question
        A problem solving activity involving two vertical poles and the need to use similar triangles to locate the position of crossing points of strings attached to the poles and the ground. You will need to register for a TES account to access this resource, this is free of charge. 04/08/2015
        Transum: Scale Factors
        An online quiz with questions relating to the effect of enlargement on length, area and volume. (Only the lengths questions are suitable for Foundation students.)04/08/2015

        Similar Triangles Challenge Question
        A problem solving activity involving two vertical poles and the need to use similar triangles to locate the position of crossing points of strings attached to the poles and the ground. You will need to register for a TES account to access this resource, this is free of charge. 04/08/2015

        Similar Triangles
        Four worksheets designed to consolidate techniques relating to similar triangles. You will need to register for a TES account to access this resource, this is free of charge. 04/08/2015
        Volume scale factors
        Two sets of questions which consolidate the idea of the volume scale factor being the cube of the length scale factor. One powerpoint allows students to click on the squares to self-check their answers. You will need to register for a TES account to access this resource, this is free of charge. 04/08/2015

        Topic Tests

        8300 GCSE Higher Congruent Triangles Mark Scheme
        Downloadable resource in pdf format. 06/01/2023
        8300 GCSE Higher Congruent Triangles Topic Test
        Downloadable resource in pdf format. 06/01/2023
        8300 GCSE Higher Similar Shapes - Area and Volume Mark Scheme
        Downloadable resource in pdf format. 06/01/2023
        8300 GCSE Higher Similar Shapes - Area and Volume Topic Test
        Downloadable resource in pdf format. 06/01/2023
        8300 GCSE Higher Similar Shapes Mark Scheme
        Downloadable resource in pdf format. 06/01/2023
        8300 GCSE Higher Similar Shapes Topic Test
        Downloadable resource in pdf format. 06/01/2023

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