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Angles in Circles Angles on the circumference Angles from a diameter Angles at the centre & the circumference Cyclic quadrilaterals Tangents.

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Presentation on theme: "Angles in Circles Angles on the circumference Angles from a diameter Angles at the centre & the circumference Cyclic quadrilaterals Tangents."— Presentation transcript:

1 Angles in Circles Angles on the circumference Angles from a diameter Angles at the centre & the circumference Cyclic quadrilaterals Tangents

2 Angles on the circumference Angles on the circumference from opposite ends of a chord are the same

3 Angles from a diameter Angles on the circumference from opposite ends of a diameter are 90 °

4 Angles at the centre & the circumference Angles on the circumference from opposite ends of a chord are half of the angle at the centre (from the same chord)

5 Cyclic quadrilaterals Opposite angles of a quadrilateral on the circumference total 180 °

6 Tangents The angle between a tangent and a radius (where the tangent touches the circle) is 90 °


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