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Proving Circle Theorems - Cyclic Quadrilaterals WORKSHEET

Suitable for Year groups: Year 10, Year 11
GCSE Tier: Higher
Targeting grades: 8-9
Prerequisite knowledge: Circle theorems, forming algebraic expressions.
Learning Objective: To be able to prove the circle theorem "opposite angles in a cyclic quadrilateral add to 180 degrees".

Proving Circle Theorems - Cyclic Quadrilaterals WORKSHEET DESCRIPTION

This worksheet will scaffold a method to prove the circle theorem “opposite angles in a cyclic quadrilateral add to 180 degrees”. Learners can follow a step-by-step method, filling in gaps of algebraic angle labels and missing words to complete the proof.

Learners could then be asked to recreate the proof by hiding this worksheet, only referring to it if needed.

All worksheets are created by the team of experienced teachers at Cazoom Maths.

Proving%20Circle%20Theorems%20Cyclic%20Quadrilaterals%20Worksheet

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Frequently Asked Questions

Students should already be familiar with circle theorems and comfortable forming algebraic expressions before tackling this proof. These foundational skills are essential as the worksheet builds upon existing circle theorem knowledge to construct a formal mathematical proof using algebraic angle representations.