Angles

17

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A lesson on angles, including with circle theorems in it!

Transcript of Angles

Page 1: Angles

Angles revision….

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What is significant about the letters F, Z, C and U in this topic?

Write down the answer in your books, with an illustration if possible.

What about x?

Angles

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Interior angles

These are angles inside a polygon.

They add up to (n-2) x 180 where n is the number of sides

Interior angles

What do these angles add up to?

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Exterior angles

Add up to 360

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Angles on a straight line

Angles to a point

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Vertically opposite angles

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Parallel Lines

a

77a = 77 because a and 77 make an F.

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Parallel Lines

a

77a = 77 because a and 77 make an F.

“F” angles are called corresponding angles

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Parallel Lines

a

77

a = 77 because a and 77 make

a Z

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Parallel Lines

a

77

a = 77 because a and 77 make

a Z.

“Z” angles are called alternate angles

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p.18 Ex2A Q1, 10 – 15p.19 Ex2B Q1, 4, 11, 12

p.20 Q13-15p.21/ 22 Ex2C Q1, 6, 7, 12, 13, 14, 16-20

p.24/ 25 Ex2D Q1, 4, 10, 14, 16p.28 Ex2E Odd Questionsp.30 Ex2F Even Questionsp.32 Ex2G – All questions

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Circles

chord

Centre of circle to aChord – meets at

Right angles

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tangent

Radius to a tangent – meets at right angles

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Cyclic quadrilaterals – Opposite angles add up to 180

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An angle subtended by a semi Circle is a right angle

90

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Angles from the same point to the middle are twice those

at the circumference

x

2x

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Angles in the same segment are equal

xx