12 6 Segment Relationships in Circles Bell Work

12 -6 Segment Relationships in Circles Bell Work Questions 5 & 6 of the EOC No Calc Packet Holt Mc. Dougal Geometry

12 -6 Segment Relationships in Circles Rigor and Relevance Find the lengths of segments formed by lines that intersect circles. Use the lengths of segments in circles to solve horizon and archaeology problems. Holt Mc. Dougal Geometry

12 -6 Segment Relationships in Circles Holt Mc. Dougal Geometry

12 -6 Segment Relationships in Circles Holt Mc. Dougal Geometry

12 -6 Segment Relationships in Circles This theorem is in your core book on page 523 for those who want to highlight it instead of write it down! Complete proof of this theorem and example 2 from core book on pgs 524 - 524 Holt Mc. Dougal Geometry

12 -6 Segment Relationships in Circles Example 1: Find the value of x and the length of each chord. J Holt Mc. Dougal Geometry

12 -6 Segment Relationships in Circles Example 2: Archaeologist discovered the fragment of an ancient disk. To calculate the original diameter, they drew in a chord and its perpendicular bisector. What is the length of the diameter? 6 in. Holt Mc. Dougal Geometry

12 -6 Segment Relationships in Circles Example 3: Find the value of x and the length of each secant segment. Holt Mc. Dougal Geometry

12 -6 Segment Relationships in Circles Example 4: Holt Mc. Dougal Geometry

12 -6 Segment Relationships in Circles Example 4 Find the value of y. DE DF = DG 2 7(7 + y) = 102 49 + 7 y = 100 7 y = 51 Holt Mc. Dougal Geometry

12 -6 Segment Relationships in Circles 12 – 6 Assignment Heading: Textbook pg 843 #3 – 9 odds, 15, 16, 20, 24, 26, 27 Holt Mc. Dougal Geometry