*Curriculum check:* ✓ Edexcel ✓ OCR

- A tangent and a radius meet at 90°

- Two tangents drawn from the same outside point
__are always equal in length__ up until the point where they touch the circle.

3. Any line that cuts through the **centre** of a chord – no matter where the chord or the line are drawn – will also cut through the centre of the circle.

- Any 2 radii form an isosceles triangle – they won’t have the usual little tick marks, you will have to spot this for yourself…practice will make perfect!

5. The angle between 2 chords drawn from 1 point on the circumference is half the size of the angle at the centre:

- The angle in a semicircle is 90°:

- Angles in the same segment are equal:

- Opposite angles in a cyclic quadrilateral add up to 180°:

- The angle between a chord and a tangent is always equal to the angle in the opposite segment (“the alternate segment theory”):

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