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

Front

is a right angle

Back

Preview of the back of card 3

Card 4

Front

Add up to 180

Back

Preview of the back of card 4

Card 5

Front

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

Back

Preview of the back of card 5
View more cards

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