# 10.4 notes

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Education

Published on March 5, 2014

Author: Mrs_Hedrick

Source: slideshare.net

10.4 Inscribed Angles & Polygons March 05, 2014 Bellwork Feb 21­10:00 AM HW pg. 676 #4­18 evens 1

10.4 Inscribed Angles & Polygons March 05, 2014 10.4 Inscribed Angles & Polygons Inscribed angle: vertex is on circle & sides contain chords Intercepted arc: lies inside of inscribed angle & endpoints on angle Measure of Inscribed Angle Theorem: measure of inscribed angle A D C m<ADB = 1/2 mAB B Feb 21­11:01 AM HW pg. 676 #4­18 evens 2

10.4 Inscribed Angles & Polygons March 05, 2014 Feb 21­11:46 AM HW pg. 676 #4­18 evens 3

10.4 Inscribed Angles & Polygons March 05, 2014 Theorem 10.8: If 2 inscribed <s intercept the same arc, then the <s are ≅. A D B <ADB ≅ <ACB C Feb 21­11:48 AM HW pg. 676 #4­18 evens 4

10.4 Inscribed Angles & Polygons March 05, 2014 Inscribed Polygon: all vertices line on a circle Circumscribed circle: contains inscribed polygon circumscribed circles inscribed pentagon inscribed triangle http://www.youtube.com/watch?v=kSEZReRYPZ8 Theorem 10.9: If a right is inscribed, then hypotenuse is diameter. Feb 21­11:54 AM HW pg. 676 #4­18 evens 5

10.4 Inscribed Angles & Polygons March 05, 2014 Inscribed Quadrilateral Theorem: a quad can be inscribed iff its opposite <s are supplementary. Feb 21­1:23 PM HW pg. 676 #4­18 evens 6

10.4 Inscribed Angles & Polygons March 05, 2014 10.4 HW pg. 676 #4-18 evens Feb 21­1:26 PM HW pg. 676 #4­18 evens 7

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