1. G EOMETRY Equations are more important to me, because politics is for the present, but an equation is something for eternity. Albert Einstein Today: Homework Check 10.5 Instruction Practice

2. Assignment: 10.4 p727 #13-18, 25- 28, 50-51 Quiz 10.1-10.5 Friday 10.4 A RCS AND C HORDS Optimism is the faith that leads to achievement. Nothing can be done without hope and confidence. Helen Keller

3. Take out a your piece of notebook paper labeled CHAPTER 10 HOMEWORK QUIZ. Write down the date (4/15), then write out p 727 #16 (INCLUDING PICTURE!!!), your work and your answer. HOMEWORK QUIZ

4. 10.5 T ANGENTS Objectives: Know and use properties of circle tangents Use circles in real life Vocabulary: point of tangency

5. CCSS Content Standards G.CO.12 Make formal geometric constructions with a variety of tools and methods (compass and straightedge, string, reflective devices, paper folding, dynamic geometric software, etc.). G.C.4 Construct a tangent line from a point outside a given circle to the circle. Mathematical Practices 1 Make sense of problems and persevere in solving them. 2 Reason abstractly and quantitatively.

6. Then/Now You used the Pythagorean Theorem to find side lengths of right triangles. Use properties of tangents. Solve problems involving circumscribed polygons.

7. Line BC is tangent to the circle. Find m  CBD. C B D 3x° 75° A 4x+50°

8. If a line is tangent to a circle, then it is perpendicular to the radius at the point of tangency. If l is tangent  Q at P, then l  QP. l Q P

9. 11 43 45 AB C Is AB tangent to  C? Explain.

10. 28’ 14’ You are standing 14 feet from a water tower. The distance from you to a point of tangency on the tower is 28 feet. What is the radius of the water tower?

11. r 24 16 Z Y X r Is YZ is tangent to  X? Find the radius of the circle.

12. If two segments from the same exterior point are tangent to a circle, then they are congruent. If SR and ST are tangent to  P, then SR  ST. P R T S -3x+7 2x-8 Find the value of x.

13. Example 5 A.42 cm B.44 cm C.48 cm D.56 cm

14. Find the values of AB, <CAB and the area of the sector. D B C 36 15 A

15. G EOMETRY Equations are more important to me, because politics is for the present, but an equation is something for eternity. Albert Einstein Assignment: 10.5 p 736 #7, 15-25 odd, 40-41 Quiz 10.1-10.5 Friday