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Daily Check. are diameters. Find the indicated measures. 1) 2) 3) 4). Warm-up . 2. Find ABC. 1. Find AB. A. B. 24. C. Math II. UNIT QUESTION: What special properties are found with the parts of a circle? Standard: MM2G1, MM2G2 Today’s Question:
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Daily Check are diameters. Find the indicated measures. 1) 2) 3) 4)
Warm-up 2. Find ABC 1. Find AB A B 24 C
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
Case I:Vertex is ON the circle ANGLE ARC ARC ANGLE
Ex. 1 Find mABC. A B 124° C mABC = 62
Ex. 2 Find mDEF. E D 84° mDEF = 42 F
202° Ex. 3 Find mGHI. G H mGHI = 79 I
Case II:Vertex is inside the circle A ARC B ANGLE D ARC C Looks like a PLUS sign!
Ex. 4 Find mE. 93° A B E 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 mABD. B 15° A C 65° m<ABD = 25 degrees D
Ex. 7 Find mAB. mAB = 16 degrees 27° A 70° B
Ex. 8 Find the value of x. mAB = 16 degrees 61° A (5x-1) (10x+1) B
Ex. 9 Find mx. 260° x m<x = 80 degrees