It’s Friday!!!  September 6, 2013

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Presentation transcript:

It’s Friday!!!  September 6, 2013 Daily Check: Naming Arcs & Central Angles

EOCT Review Megan is using an equilateral triangle as part of a design on a sweatshirt. Each side of the triangle is 12 inches long. Megan is gluing a line of stars from the midpoint of one side of this triangle to the opposite vertex. Approximately how long will the line of stars be? 13.4 10.4 8.5 5.2 b

CCGPS Geometry Day 22 (9-6-13) UNIT QUESTION: What special properties are found with the parts of a circle? Standard: MMC9-12.G.C.1-5,G.GMD.1-3 Today’s Question: What other angle relationships do we know for circles? Standard: MMC9-12.G.C.2

Case I: Vertex is AT the center P C B

Case II: Vertex is ON circle ANGLE ARC ARC ANGLE

Ex. 1 Find m1. 1 84° m1 = 42

202° Ex. 2 Find m1. 1 m1 = 79

Case III: Vertex is INSIDE circle ARC B ANGLE D ARC C Be sure to emphasize that the angles is directly across from the arcs…. Big problem last year Looks like a PLUS sign!

Ex. 3 Find m1. 93° A B 1 D C 113° m1 = 103

Ex. 4 Find mQT. N Q 84 92 M T mQT = 100

Ex. 5 Find x. 45 93 xº 89 x = 89

Case IV: Vertex is OUTSIDE circle ANGLE small ARC A LARGE ARC D B

Ex. 6 Find m1. 1 15° A D 65° B m1 = 25

Ex. 7 Find mAB. A 27° 70° B mAB = 16

Ex. 8 Find m1. 260° 1 m1 = 80

Classwork Riddle Worksheet

Homework Practice Worksheet