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.

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Presentation transcript:

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

Assignment: 10.4 p727 #13-18, , Quiz 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

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

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

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.

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

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

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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?

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

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

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, odd, Quiz Friday