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CIRCLE THEOREMS LO: To understand the angle theorems created with a circle and how to use them. Draw and label the following parts of the circle shown.

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Presentation on theme: "CIRCLE THEOREMS LO: To understand the angle theorems created with a circle and how to use them. Draw and label the following parts of the circle shown."— Presentation transcript:

1 CIRCLE THEOREMS LO: To understand the angle theorems created with a circle and how to use them. Draw and label the following parts of the circle shown in red: RadiusDiameterChordTangentCircumference

2 Draw a circle Draw a tangent Mark a point, the centre of a circle. Draw the radius, from centre to the tangent. Now measure this angle? What do you get? A radius is perpendicular to a tangent at the point of contact

3 60º a 36º b 65º c

4 Draw a circle Draw a chord Mark a point, the centre of a circle. Draw the shortest line, from centre to the chord. Now measure this angle? What do you get? What do we know about the angles where the radius and a chord meet? The perpendicular bisector of a chord passes through the centre of a circle. Both angles are equal, creating a Isosceles Triangle.

5 52º a 55º b 27º c

6 Draw a circle Draw a Diameter Mark a point, the centre of a circle. Draw two chords from the diameter so they meet at a point. The angle formed in a semicircle equals 90º. Now measure this angle? What do you get?

7 38º b a c

8 CIRCLE THEOREMS LO: To understand the angle theorems created with a circle and how to use them.

9 23º c a 72º b LO: To understand the angle theorems created with a circle and how to use them.


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