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Circle Theorems, 7) Opposite angles in a cyclic quadrilateral add to make…
Circle Theorems
7) Opposite angles in a cyclic
quadrilateral add to make
180 degrees
9) Alternate segment
theorem
The angle between a tangent and a chord is always equal to the angle in the opposite segment (the angle made at the circumference by two lines drawn from the ends of the chord
4) The angle at the centre is double
the angle at the circumference.
6) Angles in the same
segment are equal
5) The angle in a semi-circle
is 90 degrees
3) The perpendicular bisector
of a chord passes through the
radius.
8) Tangents from the same
point are the same length
2) Two radii form an
isosceles triangle
1) A tangent and a radius
meet at 90 degrees