MathsNet: C - Circles - Angles in the same segment

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Page ID: 11728

C | Circles | Theorems | «Angles in the same segment»

circle theorem

AB is a chord of the circle. C and D are points on the circumference. Use your mouse to change the size of the circle,or the positions of the centre, points A, B, C or D. Observe the angles at C and D.

However you alter the diagram, the angles at C and D will remain identical to each other. Thus...

The angles in the same segment are equal

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Glossary

chord

A straight line joining two points on a circle or other curve.

circle

a conic curve with equation (x-a)²+(y-b)²=r²

function

A rule that connects one value in one set with one and only one value in another set.

Full Glossary List

This question appears in the following syllabi:

Syllabus	Module	Section	Topic	Exam Year
AQA AS Maths 2017	Pure Maths	Straight Lines and Circles	Circle Theorems	-
AQA AS/A2 Maths 2017	Pure Maths	Straight Lines and Circles	Circle Theorems	-
AQA GCSE (9-1) Higher (UK)	G: Properties and Constructions	G10: Circle Theorems	Circle Theorems	-
CBSE IX (India)	Geometry	Circles	Theorems	-
CBSE X (India)	Geometry	Circles	Lengths of tangents from external point are equal	-
CIE IGCSE (9-1) Maths (0626 UK)	3 Geometry	B3.7 Calculating Unknown Angles	Circle Theorems	-
Edexcel AS Maths 2017	Pure Maths	Circles	Circle Theorems	-
Edexcel AS/A2 Maths 2017	Pure Maths	Circles	Circle Theorems	-
Edexcel GCSE (9-1) Higher (UK)	G: Properties and Constructions	G10: Circle Theorems	Circle Theorems	-
GCSE Higher (UK)	Geometry	Circles	Theorems	-
OCR AS Maths 2017	Pure Maths	Lines and Circles	Circle Theorems	-
OCR GCSE (9-1) Higher (UK)	8: Basic Geometry	8.05: Circle Theorems	Circle Theorems	-
OCR MEI AS Maths 2017	Pure Maths	Lines and Circles	Circle Theorems	-
Universal (all site questions)	C	Circles	Theorems	-