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Daily Check. are diameters. Find the indicated measures. 1) 2) 3) 4). Warm-up . A. 1. Let AM = 8, BP = 7, and CA = 18. Find the perimeter of the triangle. N. M. 50. C. P. 3. MCY = 270 Find BC. B. 2. Find ACB. 20. B. A. M. 312. 20. 90. B. 24. C. C. Y.
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Daily Check are diameters. Find the indicated measures. 1) 2) 3) 4)
Warm-up A 1. Let AM = 8, BP = 7, and CA = 18. Find the perimeter of the triangle. N M 50 C P 3. MCY = 270 Find BC. B 2. Find ACB 20 B A M 312 20 90 B 24 C C Y
Math II UNIT QUESTION: What special properties are found with the parts of a circle? Standard: MM2G1, MM2G2 Today’s Question: What other angle relationships do we know for circles? Standard: MM2G3.b
Time to make a Wheel of Formulas
Central Angle Vertex OUTSIDE circle Vertex ON circle Vertex INSIDE circle Arc Angle Formulas
Case I:Vertex is ON the circle ANGLE ARC ARC ANGLE
Ex. 1 Find m1. A B 1 124° C m1 = 62
Ex. 2 Find m1. 1 84° m1 = 42
202° Ex. 3 Find m1. 1 m1 = 79
Case II:Vertex is inside the circle A ARC B ANGLE D ARC C Looks like a PLUS sign!
Ex. 4 Find m1. 93° A B 1 D C 113° m1 = 103
Ex. 5 Find mQT. mQT = 100 N Q 84 92 M T
Case III:Vertex is outside the circle C ANGLE small ARC A D LARGE ARC B LARGE ARC LARGE ARC small ARC ANGLE small ARC ANGLE
Ex. 6 Find m1. 1 15° A D 65° m<1 = 25 degrees B
Ex. 7 Find mAB. mAB = 16 degrees A 27° 70° B
Ex. 8 Find m1. 260° 1 m<1 = 80 degrees
ClassworkWorkbook p. 225 #10-16; p. 227 #20, 21 Homework: Textbook p. 208 #19, 20; p. 214 #1-12