1. Circle Properties

2. Draw a Circle Draw a Chord Draw radii from ends of chord Draw lines from each end of line to meet on circumference a b Measure angles a and b – what do you notice?

3. Circle Properties a b Draw two more lines from the ends of the chord to meet at the circumference What do you think that the new Angle will be? Measure it

4. Circle Properties Draw a Circle Draw a diameter – a chord that goes through the centre Draw two lines, one from each end of the diameter, to meet at the circumference What angle does that make? And Why?

5. Circle Properties What can you find out about the angles?

6. Circle Properties Draw a circle Draw a tangent Draw a radius to meet the tangent What angle is that?

7. Circle Properties Draw a Circle Draw a chord Construct the perpendicular bisector Do you notice anything?

8. Circle Properties Draw a circle Draw two tangents that meet Measure the distance from the meeting point to the circle in both cases

9. Circle Properties Draw a circle with a quadrilateral in it, the corners touching the circumference What can you find out about the angles in the quadrilateral?

10. Circle Properties How about a trapezium? Anything different?

11. Circle Properties