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What are the angles in the same segment?
Angles in the same segment are equal.

What is the relationship between the angle at the circumference and the angle at the centre?
The angle at the centre is twice the angle at the circumference.

What type of angle is an angle in a semicircle, that is on circumference?
An angle in a semicircle is 90 degrees.

What is a quadrilateral called when all 4 corners touch the circumference?
A quadrilateral which has all 4 corners touch the circumference is called a cyclic quadrilateral.

What angle does a tangent (line touching the circumference outside of circle)meet the radius at?
The angle that the tangent meets the radius at is 90 degrees.

What is the relationships between two tangents from the same point?
The length of two tangents from the same point are equal.

What is the name of the theorem that states the angle between a tangent and a chord equalds the angle in the alternate segment?
Alternate segment theorem.