geometrical properties of circles

Question 1

perpendicular bisector from centre of circle bisects the chord

Answer 1

⊥ bisector of chord

Question 2

equal chords of a circle are equidistant from centre

Answer 2

equal chord, equidistant from centre

Question 3

angle at centre is twice of angle at circumference

Answer 3

∠ at centre = 2 x ∠ at circumference

Question 4

angle in semicircle is 90

Answer 4

right angle in semicircle

Question 5

angle in same segment of a circle is equal

Answer 5

∠s in same segment

Question 6

angles in opposite segments are supplementary

Answer 6

∠s in opp. segments

Question 7

tangent to a circle is perpendicular to radius from point of contact

Answer 7

tan ⊥ radius

Question 8

tangent from external point where the lengths are equal and line joining the external point and centre of circle bisects the angle between tangents

Answer 8

tan from external point