# 11x1 t07 05 tangent theorems 1

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- 1. Tangent Theorems

2. Tangent Theorems (7)Assumption: The size of the angle between a tangent and the radius drawn to the point of contact is 90 degrees. 3. Tangent Theorems (7)Assumption: The size of the angle between a tangent and the radius drawn to the point of contact is 90 degrees. 4. Tangent Theorems (7)Assumption: The size of the angle between a tangent and the radius drawn to the point of contact is 90 degrees. Letxbe the distance of the chord from the centre. x Y Z O X 5. Tangent Theorems (7)Assumption: The size of the angle between a tangent and the radius drawn to the point of contact is 90 degrees. Letxbe the distance of the chord from the centre. y x Let 2 ybe the length of the chord. y Y Z O X 6. Tangent Theorems (7)Assumption: The size of the angle between a tangent and the radius drawn to the point of contact is 90 degrees. Letxbe the distance of the chord from the centre. y x Let 2 ybe the length of the chord. y Y Z O X 7. Tangent Theorems (7)Assumption: The size of the angle between a tangent and the radius drawn to the point of contact is 90 degrees. Letxbe the distance of the chord from the centre. y x Let 2 ybe the length of the chord. y Y Z O X 8. Tangent Theorems (7)Assumption: The size of the angle between a tangent and the radius drawn to the point of contact is 90 degrees. Letxbe the distance of the chord from the centre. y x Let 2 ybe the length of the chord. y X Y Z O 9. Tangent Theorems (7)Assumption: The size of the angle between a tangent and the radius drawn to the point of contact is 90 degrees. Letxbe the distance of the chord from the centre. y x Let 2 ybe the length of the chord. y X Y Z O 10. Tangent Theorems (7)Assumption: The size of the angle between a tangent and the radius drawn to the point of contact is 90 degrees. Letxbe the distance of the chord from the centre. x Let 2 ybe the length of the chord. X Y Z O 11. (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 12. (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 13. (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 14. (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 15. (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:JoinOA, OBandOT A B O T 16. (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:JoinOA, OBandOT A B O T 17. (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:JoinOA, OBandOT OTis a common side A B O T 18. (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:JoinOA, OBandOT OTis a common side A B O T 19. (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:JoinOA, OBandOT OTis a common side A B O T 20. (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:JoinOA, OBandOT OTis a common side A B O T 21. H O T 22. H O T 23. H O T Exercise 9E; 1aceg, 2bdfh, 3ac, 4bd, 6bc, 9, 10ac, 12b, 14, 16a