Chapter 10: Circle Geometry - McGraw-Hill Ryerson

More documents

Recommendations

Info

$Math and Chemistry - McGraw-Hill Ryerson$

Name: _____________________________________________________ Date: ______________ Perpendicular Bisector of a Chord ● A perpendicular line from the centre of a circle to a chord bisects the chord. Working Example 1: Bisect a Chord With a Radius Radius CD bisects chord AB. chord AB = 8 cm radius = 5 cm What is the length of line segment CE? Justify your answer. Solution CD is a radius that bisects chord . So, CD is perpendicular to AB. A perpendicular bisector makes a ° angle, so ∠AEC is °. CD divides AB in half, so AE = EB. AB = 8 cm. So, AE and EB each measure cm. radius AC = 5 cm Label the length of AC on the diagram. Since ∠ACE is 90° and you know 2 side lengths, use the relationship to find the unknown side length. CE 2 + AE 2 = AC 2 CE 2 + 4 2 = CE 2 + = CE 2 + – = – 16 CE 2 = CE = CE = The length of CE is cm. 18 MHR ● Chapter 10: Circle Geometry DRAFT 2 A 5 cm 4 cm Bisect means to divide into 2 equal pieces. D C E B A D E chord C The tick marks show that the sections are equal. B
Name: _____________________________________________________ Date: ______________ Radius CH bisects chord FG. radius = 10 cm chord FG = 12 cm What is the length of CJ? F C J H CH is a radius that bisects chord . GJ = cm ∠GJC = ° because CH is a bisector. Label the measure of ∠GJC and the lengths of CG and GJ on the diagram. CJ 2 + cm G cm CJ 2 + GJ 2 = CG 2 2 = CJ 2 + = CJ 2 + – = – CJ 2 = CJ = CJ = The length of CJ is cm. 2 DRAFT 10.2 Math Link ● MHR 19
Page 1 and 2: CHAPTER 10 GET READY XX Math Link X
Page 3 and 4: Name: _____________________________
Page 5 and 6: Name: _____________________________
Page 7 and 8: Name: _____________________________
Page 9 and 10: Name: _____________________________
Page 11 and 12: Name: _____________________________
Page 13 and 14: Name: _____________________________
Page 15 and 16: Name: _____________________________
Page 17: Name: _____________________________
Page 21 and 22: Name: _____________________________
Page 23 and 24: Name: _____________________________
Page 25 and 26: Name: _____________________________
Page 27 and 28: Name: _____________________________
Page 29 and 30: Name: _____________________________
Page 31 and 32: Name: _____________________________
Page 33 and 34: Name: _____________________________
Page 35 and 36: Name: _____________________________
Page 37 and 38: Name: _____________________________
Page 39 and 40: Name: _____________________________
Page 41 and 42: Name: _____________________________
Page 43 and 44: Name: _____________________________
Page 45 and 46: Name: _____________________________
Page 47 and 48: Name: _____________________________
Page 49 and 50: Name: _____________________________
Page 51 and 52: Many Aboriginal peoples know the le
Page 53: Working Example 2: Show You Know a)

Chapter 10: Circle Geometry - McGraw-Hill Ryerson

You also want an ePaper? Increase the reach of your titles

Delete template?

Save as template?