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By the end of this unit, students will be able to:
understand the concepts of congruency and similarities between geometric shapes;
identify and apply conditions for congruency and similarities;
solve problems involving congruent and similar shapes, including proportions and ratios.
National Curriculum Objectives
Key Stage 4: Geometry and measures
identify and construct congruent triangles, and construct similar shapes by enlargement, with and without coordinate grids
apply angle facts, triangle congruence, similarity and properties of quadrilaterals to derive results about angles and sides, including Pythagoras’ Theorem, and use known results to obtain simple proofs
Key Stage 4: Ratio, proportion and rates of change
compare lengths, areas and volumes using ratio notation and/or scale factors; make links to similarity (including trigonometric ratios)
Target Ages
Age: 15-16
England & Wales: Year 11
Scotland: Senior 4
Rep. Ireland: Transition Year
Australia: Grade 10
USA: Grade 10
What’s Included
Three-part Lesson
Self-marking Activities
Fluency, Reasoning and Problem-solving Questions.
Engaging Drag and Drop Activities
Interactive Self-marking Worksheet
Printable Worksheets to Consolidate Learning
By the end of this unit, students will be able to:
understand the concepts of congruency and similarities between geometric shapes;
identify and apply conditions for congruency and similarities;
solve problems involving congruent and similar shapes, including proportions and ratios.
Key Stage 4: Geometry and measures
identify and construct congruent triangles, and construct similar shapes by enlargement, with and without coordinate grids
apply angle facts, triangle congruence, similarity and properties of quadrilaterals to derive results about angles and sides, including Pythagoras’ Theorem, and use known results to obtain simple proofs
Key Stage 4: Ratio, proportion and rates of change
compare lengths, areas and volumes using ratio notation and/or scale factors; make links to similarity (including trigonometric ratios)
Age: 15-16
England & Wales: Year 11
Scotland: Senior 4
Rep. Ireland: Transition Year
Australia: Grade 10
USA: Grade 10
Three-part Lesson
Self-marking Activities
Fluency, Reasoning and Problem-solving Questions.
Engaging Drag and Drop Activities
Interactive Self-marking Worksheet
Printable Worksheets to Consolidate Learning
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Foster fundamental skills and a love for numbers through engaging activities and interactive learning.
By the end of this unit, students will be able to:
understand the concepts of congruency and similarities between geometric shapes;
identify and apply conditions for congruency and similarities;
solve problems involving congruent and similar shapes, including proportions and ratios.
Key Stage 4: Geometry and measures
identify and construct congruent triangles, and construct similar shapes by enlargement, with and without coordinate grids
apply angle facts, triangle congruence, similarity and properties of quadrilaterals to derive results about angles and sides, including Pythagoras’ Theorem, and use known results to obtain simple proofs
Key Stage 4: Ratio, proportion and rates of change
compare lengths, areas and volumes using ratio notation and/or scale factors; make links to similarity (including trigonometric ratios)
Connected Resources
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Year Group
Early Years Maths
Resource Type
📁 Digital Resource
Format
Print & Digital
Curriculum
England & Wales (KS1/KS2), adaptable internationally
Added
4 March 2026
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