Math(F4) Circle Iii 8.1
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A tangent to a circle is perpendicular to the radius drawn through the contact point. A tangent to a circle is a straight line which touches the circle at only one point. The lengths of the tangents drawn from a point outside the circle to the contact points are equal, and the angles formed between the tangents and radii are congruent.
Math(F4) Circle Iii 8.1
- 1. 8 Chapter CIRCLE III
- 8. 8.1 (a) Identify Tangents
- 9. P A Q Circle Straight Line Intersection at point A What is tangent ?
- 10. When a circle and a straight line intersect at 1 point, we called that line as a tangent .
- 11. P A Q Tangent to a circle
- 12. Is this a tangent ? Tangent to a circle A B C
- 13. Is this a tangent ? Tangent to a circle X Y Z
- 14. Which are tangents to a circle ? A C D F E O H B G Answer : Tangent CD at point A Tangent GH at point B
- 15. Which are tangents to a circle ? Answer : Tangent AB at point H Tangent AC at point E A E D C B H F G Tangent BD at point G
- 16. Hiii… Everyone, are you ready to learn the next lesson.. ?
- 17. Next concept
- 18. Tangent to a circle is perpendicular to the radius of the circle that passes through the contact point .
- 19. P Q Tangent to a circle Radius 90 0 = perpendicular
- 20. P O R Q Tangent PQ perpendicular with radius OP. Tangent RQ perpendicular with radius OR.
- 21. 8.1 (b) Construct the tangent to a circle passing through a point : a) on the circumference of the circle b) outside the circle
- 22. Activity 1 ( Construct the tangent to a circle passing through a point on the circumference of the circle ) Form a group of 5 students. Complete activity 1 by using roundtable method. Time given is 5 minutes. Then, a student will be chosen to present the work in front.
- 23. Activity 2 ( Construct the tangent to a circle passing through a point outside the circle ) Form a group of 5 students. Complete activity 2 by using roundtable method. Time given is 3 minutes. Then, a student will be chosen to present the work in front.
- 24. The Properties Related To Two Tangents From A Given Point Outside The Circle 8.1c
- 25. What is The Properties Related To Two Tangents From A Given Point Outside The Circle? Let’s do this activity together
- 26. 1. Use the previous figure and construct segment from centre to the contact point on the circumference of the circle.
- 27. 2. Using a ruler and a protractor, measure and record the lengths and angles in table. Value Angle Length
- 28. What do you get from this activity? 1. The lengths of the tangent from a given point A to each contact point are equal, PA = QA 2. The line that joins the given point outside the circle, point A , to the centre of the circle bisects. a) the angle between the two tangents, that is, b) the angle between the two radii that passes through the contact points, that is,
- 29. 3. are congruent.
- 30. SUMMARY A tangent to a circle is ____________ to the radius drawn through the _________ A tangent to a circle is a __________ ____________________________ O A c O B C AB and AC are _______ to the ________ AC BC OBC and OAC are ___________
- 31. SUMMARY A tangent to a circle is perpendicular to the radius drawn through the contact point . A tangent to a circle is a straight line which touches the circle at a point. A c O B C AB and AC are tangents to the circle . AC = BC OBC and OAC are congruent . O