Year 11
Core

Circle Theorems: The perpendicular from the centre to a chord bisects the chord

Year 11
Core

Circle Theorems: The perpendicular from the centre to a chord bisects the chord

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Lesson details

Key learning points

  1. In this lesson, we will learn that a perpendicular from the centre to a chord bisects the chord. We will prove this result with a general case.

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3 Questions

Q1.
Work out the missing angle x.
An image in a quiz
108º
48º
Correct answer: 60º
72º
Q2.
Work out the missing angle y.
An image in a quiz
108º
Correct answer: 48º
60º
72º
Q3.
Work out the missing angle x.
An image in a quiz
Correct answer: 104º
118º
42º
62º

3 Questions

Q1.
Work out the length of the AM.
An image in a quiz
Correct answer: 11 cm
33 cm
44 cm
5.5 cm
Q2.
Work out the length of BM.
An image in a quiz
Correct answer: 12 cm
18 cm
24 cm
6 cm
Q3.
The diagram shows a circle with centre O and M is the midpoint of chord AB. Which statement is INCORRECT?
An image in a quiz
AM=0.5AB
AM=BM
Correct answer: OA=AM
OA=OB