Angle Properties In Circles

Rules for angle properties in circles

?
  • Created by: bluebells
  • Created on: 05-11-12 22:21

1. cyc quad, opp angles add up to 180

  • On a cyclic quad, opposite angles are supplementry
  • When an angle is drawn from the ends of an arc to the centre of a circle, it is twice the size of an angle drawn from the ends of the same arc to any point on the opposite circumference of the circle.
  • When a tangent is drawn to a circle, it makes a right angle with the radius at the point of contact
1 of 8

Other questions in this quiz

2. angles on same arc =

  • Angles extending to the circumference from the same arc are equal
  • the angle between a chord and a tangent equals the angle in the opposite segment
  • Any triangle where two of the sides are radii of the same circle must be isosceles.

3. tgt right angle rad

  • On a cyclic quad, opposite angles are supplementry
  • When a tangent is drawn to a circle, it makes a right angle with the radius at the point of contact
  • When the arc forms a semi-circle, any angle on the circumference is a right angle

4. isos tri = radii, angle sum = 180

  • On a cyclic quad, opposite angles are supplementry
  • Any triangle where two of the sides are radii of the same circle must be isosceles.
  • When a tangent is drawn to a circle, it makes a right angle with the radius at the point of contact

5. cyc quad, ext angle = int opp angle

  • When a tangent is drawn to a circle, it makes a right angle with the radius at the point of contact
  • On a cyclic quad, each opposite angle is equal to the interior opposite angle
  • the angle between a chord and a tangent equals the angle in the opposite segment
View more questions

Comments

No comments have yet been made

Similar Revision Skills resources:

Maths
See all Revision Skills resources »