Circle Theorems: The alternate segment theorem
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Lesson details
Key learning points
- 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.
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3 Questions
Q1.
Work out the size of angle x.
180º
360º
45º
Q2.
Work out the size of angle x.
158º
68º
90º
Q3.
Which statement is correct about the diagram shown.
Line AB < Line AC
Line AB > Line AC
3 Questions
Q1.
Work out the missing angle x.
108º
48º
72º
Q2.
Work out the missing angle y.
108º
60º
72º
Q3.
Work out the missing angle x.
118º
42º
62º