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Circle theorems
Year 10 • Maths
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- The angle at the centre of the circle is twice the angle at any point on the circumference
- The tangents from an external point are equal in length
- Identifying which circle theorem to use
- Problem solving with circle theorems
- The angles in the same segment are equal
- The angle in a semicircle is a right angle
- The tangent at any point on a circle is perpendicular to the radius at that point
- The perpendicular from the centre of a circle to a chord bisects the chord
- The opposite angles of a cyclic quadrilateral sum to 180°
- Checking and securing understanding of the parts of a circle
- The alternate segment theorem