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Outline
GCSE Higher Ch16 Circle Theorems
Specification Details
Theorem 1
Theorem 2
Theorem 3
Theorem 4
Theorem 5
Theorem 6
Theorem 7
Theorem 8
Mixed Examples
GCSE Higher Ch16 Circle Theorems
Author:
Nicola Trubridge
Topic:
Circle
Table of Contents
Specification Details
Circle Theorems
Isosceles Triangle in a Circle (page 1)
Theorem 1
Angle at centre is twice angle at circumference
Angle at centre is twice angle at circumference.
Theorem 2
Angle in a semi-circle
Angle in a semi-circle
Angle in a semi-circle PROOF
Angle in a semi-circle (proof)
Theorem 3
Angles in the same Segment
Angles in the same Segment (Proof)
Theorem 4
Cyclic quadrilaterals
Simple Cyclic Quadrilateral
Cyclic Quadrilateral (Proof)
Theorem 5
Tangent at a Point
Theorem 6
Tangents to a circle are equal (Proof)
Theorem 7
Diameter-Chord Theorem
Diameters & Chords I (VA)
Theorem 8
Alternate Segment Theorem (page 1)
Alternate Segment Theorem (page 2)
Alternate Segment Theorem (proof)
Mixed Examples
Circle theorems
Next
Circle Theorems
New Resources
Experiments with Transformations in the Plane
Roll 6d five times
A note on Erdős’s mysterious remark
Basic Percent Exercises (V2)
Flip 4 Coins
Discover Resources
Example 1
UCSS Math I 4.2.4 Example 3
Gradient
gvj f
Discover Topics
Real Numbers
Median Line
Trigonometric Functions
Ratios
Similar Triangles