Chapter 10: Circle Geometry - McGraw-Hill Ryerson

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$Math and Chemistry - McGraw-Hill Ryerson$

Name: _____________________________________________________ Date: ______________ 1. In the diagram, ∠BDA measures half of ∠BCA. Explain why this is true. ______________________________________________________________ ______________________________________________________________ 2. Manny drew the diameter of a circle. Then, he drew an inscribed angle that had the same endpoints as the diameter. What is the measure of the inscribed angle? How do you know? ______________________________________________________________ ______________________________________________________________ 3. What is the measure of ∠ADB? ∠ADB = ∠ ÷ = ÷ = ° 4. a) What is the measure of ∠FJG? Give 1 reason for your answer. ∠FJG is an angle. 12 MHR ● Chapter 10: Circle Geometry DRAFT ∠FJG = ∠FHG because they share the same . ∠FHG is °. So, ∠FJG is °. b) What is the measure of ∠FCG? Justify your answer. ∠FCG is a angle. ∠FCG = × ∠ = × ° = ° So, ∠FCG is °. D C A 82° B Central angle = 2 × inscribed angle F G A C D C D C H J A 23° B B
Name: _____________________________________________________ Date: ______________ 5. Point C is the centre of the circle. diameter AD = 17 cm chord BD = 15 cm a) What is the measure of ∠ABD? ∠ABD = ÷ = ÷ = ° So, ∠ADB is °. b) What is the length of chord AB? AB 2 + AB 2 + BD 2 = AD 2 2 = AB 2 + = AB 2 + – = – AB 2 = AB = 2 DRAFT AB = The length of AB is cm. 6. All the lights are out, so Jacob and his mother are using flashlights to find the electrical panel. Jacob’s flashlight shines light through an angle of 15º. His mother’s flashlight shines light through an angle of 30º. On the diagram, show where Jacob should stand so both flashlights shine on the electrical panel. Mother’s flashlight 30 A Use an inscribed angle. B 17 cm C 15 cm D Use the Pythagorean relationship. 10.1 Exploring Angles in a Circle ● MHR 13
Page 1 and 2: CHAPTER 10 GET READY XX Math Link X
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Chapter 10: Circle Geometry - McGraw-Hill Ryerson

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