# Circle theorems GCSE revision cards

Last updated: 14/05/2024
Contributor: Teachit Author
Main Subject
Key stage
Category
Geometry and measures: Circles
Inside
Resource type
Revision

A GCSE maths resource that can be used to revise and consolidate circle theorems.

There are 18 double-sided flash cards with questions on:

• basic circle facts

• the angle in a semi-circle

• angles at the centre and the circumference of a circle

• angles in the same segment

• tangents

• alternate segment theorem

The sheets need to be photocopied or printed back to back, so the questions match up with the answers on the reverse. The cards can then be put together into a set and used for independent revision or with a friend asking the questions.

Sample questions and answers from the revision cards:

F) O is the centre of the circle.

Q)

Q1. What is a cyclic quadrilateral? Answer: A cyclic quadrilateral is one in which all four vertices touch the circumference of a circle.

Q2. State the rule for angles in a cyclic quadrilateral. Answer: The opposite angles sum to 180°.

R)

Aside from circle theorems, suggest some other angle rules you may need to know when given a question on angles in circles.

Angles in a triangle sum to 180˚.

Vertically opposite angles are equal.

Parallel line rules:

• corresponding angles are equal

• alternate angles are equal

• (co-)interior angles sum to 180˚.

K)

Q1. What is a tangent? Answer: A tangent is a straight line which touches the circumference of a circle at just one point.

Q2. What angle does it make with a radius? Answer: It makes a right angle with the radius at that point.

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### All reviews

Have you used this resource?

just what I was looking for, thank you ;)

Geraldine Hardwick

14/05/2024

24/04/2020

27/01/2019

great resource for revising the rules before answering some questions. printed, laminated and done in pairs. perfect. thank you

carol gainlall

26/03/2018

just what I was looking for, thank you ;)

Geraldine Hardwick

14/05/2024

24/04/2020

27/01/2019

great resource for revising the rules before answering some questions. printed, laminated and done in pairs. perfect. thank you

carol gainlall

26/03/2018

Great resource for revision of the whole class

mohanjeet kaur

30/12/2017

Thank you! it was what I was looking for!

Olena Tonne

14/09/2016

Fantastic. Card matching activities are always great. Thanks for sharing.

30/08/2016

Thankyou - great for the family to help my son.

20/03/2015

Thanks a lot! a very nice revision activity

28/04/2014