# Circle Theorems

The angle at the centre
Is twice the angle on the circumference
1 of 6
Angles subtended by the arc in the same segment
Are equal (ie. Pg 356)
2 of 6
The angle subtended in a semicircle
is a right angle
3 of 6
The angles subtended in opposite segments
Add up to 180
4 of 6
The alternate segment theorem
the angle between a tangent and a chord is equal to the angle subtended in the opposite segment
5 of 6
A pair of chords (AB CD) intersect at X
The lengths AX,BX, CX and DX are related as such: AX x BX = CX x DX
6 of 6

## Other cards in this set

### Card 2

#### Front

Are equal (ie. Pg 356)

#### Back

Angles subtended by the arc in the same segment

### Card 3

is a right angle

#### Back ### Card 4

Add up to 180

#### Back ### Card 5

#### Front

the angle between a tangent and a chord is equal to the angle subtended in the opposite segment

#### Back ## Comments

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