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
- 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.
Licence
This content is made available by Oak National Academy Limited and its partners and licensed under Oak’s terms & conditions (Collection 1), except where otherwise stated.
3 Questions
Q1.
Work out the missing angle x.
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108º
48º
72º
Q2.
Work out the missing angle y.
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108º
60º
72º
Q3.
Work out the missing angle x.
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118º
42º
62º
3 Questions
Q1.
Work out the length of the AM.
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33 cm
44 cm
5.5 cm
Q2.
Work out the length of BM.
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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?
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AM=0.5AB
AM=BM
OA=OB