12-4 Angle Measures and Segment Lengths

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Presentation transcript:

12-4 Angle Measures and Segment Lengths Extends G.C.2 Identify and describe relationships among inscribed angles, radii, and chords. 12-4 Angle Measures and Segment Lengths To find the measures of angles formed by chords, secants, and tangents. To find the lengths of segments associated with circles. Students will apply their knowledge of circles and tangent lines to create and investigate conjectures about angle measures and segment lengths related to circles.

12-4 Quiz The following questions are designed to help you decide if you understood today’s lesson. Be sure to ask if you miss one and don’t know why! Record the number you get right on your portfolio sheet 

1. Find the value of x. If necessary, round your answer to the nearest tenth. The figure is not drawn to scale. 18.8 120 5.3 12 Non-Response Grid

2. Find the value of x. If necessary, round your answer to the nearest tenth. The figure is not drawn to scale. AB = 20, BC = 6, and CD = 8 18.5 11.5 19.5 15

3. Find the value of x. If necessary, round your answer to the nearest hundreth. The figure is not drawn to scale. 19.34 10.49 110 9.22

4. m(arc DE) = 96 and m(arc BC) = 67. Find m∠A 4. m(arc DE) = 96 and m(arc BC) = 67. Find m∠A. (The figure is not drawn to scale.) 14.5 62.5 81.5 29

5. Find the value of x for m(arc AB) = 46 and m(arc CD) = 25 5. Find the value of x for m(arc AB) = 46 and m(arc CD) = 25. (The figure is not drawn to scale.) 71 58.5 35.5 21

12-4 p.794-796 #8-34 even ASSIGNMENT: Be sure to RATE your understanding of the lesson 4-3-2-1-0 after you finish it AND give me one complete sentence as to why you rated yourself that way then summarize what the lesson was about in a couple of complete sentences.