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Hint

1

Angles at the centre

Angle at the centre is twice the angle at the circumference

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2

Angles in the same segment

Angles in the same segment are equal.

Angles *a = a*

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3

Angle in a semicircle

The angle in a semicircle is 90° or a right angle

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4

What is a cyclic quadrilateral?

A **cyclic quadrilateral** is a **quadrilateral** drawn inside a circle. Every corner of the quadrilateral must touch the **circumference** of the circle.

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5

Tangents

There are two circle theorems involving **tangents**.

1. The angle between a tangent and a **radius** is 90°.

2. Tangents which meet at the same point are equal in length.

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6

Chords

The perpendicular from the centre of a circle to a **chord** **bisects** the chord.

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7

The alternate segment theorem

The angle between a **tangent** and a **chord** is equal to the angle in the alternate segment.

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8

Two Tangent Theorem

if two tangent segments are drawn to one circle from the same external point, then they are congruent.

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