Circles 3

Question 1

statement 1

Answer 1

Congruent arcs of a circle subtend equal angles at the centre.

Question 2

What is a cylic quadrilateral

Answer 2

A quadrilteral is called cylic if all 4 vertices lie in the circle.

Question 3

Theorem 7

Answer 3

Chords equidistant from the centre of a circle are equal in length.

Question 4

Theorem 12

Answer 4

If the sum of a pair of opposite angles of a quadrilateral is 180º the quadrilateral is cyclic.

Question 5

Theorem 10

Answer 5

If a line segment joining two points subtends equal angles at two other points lying on the same side of the line containing the line segment the four points lie on a circle

Question 6

Theorem 11

Answer 6

The sum of either pair of opposite angles of a cyclic quadrilateral is 180º