2.8Tangent Lines and Tangent Cirles.pptx

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1. QUIZ 2.2 S O B R 50 〫

2. QUIZ 2.2 Directions: Identify the following. 2 major arcs 2 minor arcs An acute central angle An obtuse central angle A radius which is not part of a diameter S O B R 50 〫 A semicircle mBR m SOR mSR mSBR  

3. QUIZ 2.2 Directions: In circle D, mTE = 45 and YDU is a right angle. Find the measure of the following arcs. UL 14) YLE UY 15) LE TY 16) UET   T D L E Y U

4. QUIZ 2.2 Directions: Find each measure. m BAC 22) mCD mAB 23) m ACB mAD 24) mADC m ACD 25) mABC m DOC 26) m ABC   O B C D A    

5. What is a secant?

6. What is a tangent?

11. Theorem 113 If two secants intersect in the interior of a circle, then the measure of the angle formed is equal to one-half the sum of the measures of the intercepted arcs.

12.     a. Find m AEB.   b . Find m AED.  

16. Theorem 114 If two secants intersect in the exterior of a circle, then the measure of the angle formed is equal to one-half the positive difference of the measures of the intercepted arcs.

17. In the figure, mAD = 40 and m BPC = 30, find mBC   P A D C B

18. Q R P O

19. Q R P O    

20. Q R P O    

21. Q R P O    

22. Theorem 115 The measure of an angle formed by a secant and a tangent intersecting at a point on the circle is one-half the measure of the intersected arc. Q R P O

23. Seatwork 2.5 Work on Written Math (A and B) on page 259.

24. Homework 2.4 Work on Written Math (C) on page 260.