11X1 T07 05 tangent theorems 1

Tangent Theorems

Tangent Theorems (7) Assumption: The size of the angle between a tangent and the radius drawn to the point of contact is 90 degrees.

Tangent Theorems (7) Assumption: The size of the angle between a tangent and the radius drawn to the point of contact is 90 degrees. Let x be the distance of the chord from the centre. x Y Z O X

Tangent Theorems (7) Assumption: The size of the angle between a tangent and the radius drawn to the point of contact is 90 degrees. Let x be the distance of the chord from the centre. y x Let 2 y be the length of the chord. y Y Z O X

Tangent Theorems (7) Assumption: The size of the angle between a tangent and the radius drawn to the point of contact is 90 degrees. Let x be the distance of the chord from the centre. y x Let 2 y be the length of the chord. y X Y Z O

Tangent Theorems (7) Assumption: The size of the angle between a tangent and the radius drawn to the point of contact is 90 degrees. Let x be the distance of the chord from the centre. x Let 2 y be the length of the chord. X Y Z O

(8) From any external point, two equal tangents may be drawn to a circle. The line joining this point to the centre is an axis of symmetry

(8) From any external point, two equal tangents may be drawn to a circle. The line joining this point to the centre is an axis of symmetry A B O T

(8) From any external point, two equal tangents may be drawn to a circle. The line joining this point to the centre is an axis of symmetry Proof: Join OA, OB and OT A B O T

(8) From any external point, two equal tangents may be drawn to a circle. The line joining this point to the centre is an axis of symmetry Proof: Join OA, OB and OT OT is a common side A B O T

H O T Exercise 9E; 1aceg, 2bdfh, 3ac, 4bd, 6bc, 9, 10ac, 12b, 14, 16a

11X1 T07 05 tangent theorems 1

by Nigel Simmons on Jun 04, 2009

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