Circle Theorems: The alternate segment theorem

Circle Theorems: The alternate segment theorem

Lesson details

Key learning points

  1. In this lesson, we will learn that an angle made with a chord and tangent is equal to the angle subtended by the chord in the alternate segment. We will prove this result with a general case.

Licence

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3 Questions

Q1.
Work out the size of angle x.
180º
360º
45º
Correct answer: 90º
Q2.
Work out the size of angle x.
158º
Correct answer: 22º
68º
90º
Q3.
Which statement is correct about the diagram shown.
Line AB < Line AC
Correct answer: Line AB = Line AC
Line AB > Line AC

3 Questions

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

Lesson appears in

UnitMaths / Circle Theorems 2