Circle Theorems Flashcards
What does the alternate segment theorem state?
The angle that lies between a tangent and a chord is equal to the angle subtended by the same chord in the alternate segment.
What is the relationship defined by the angles in the same segment theorem?
Angles in the same segment are equal.
What does the angle at the centre theorem state?
The angle at the centre is twice the angle at the circumference.
What is the measure of an angle in a semicircle?
90 degrees.
What is the property of the chord of a circle regarding the perpendicular from the centre?
The perpendicular from the centre of a circle to a chord bisects the chord.
What does the cyclic quadrilateral theorem state about its opposite angles?
The opposite angles in a cyclic quadrilateral total 180 degrees.
True or False: The angle between a tangent and a radius is 90 degrees.
True.
Fill in the blank: Tangents which meet at the same point are ______.
equal in length.
