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# 10.4 notes

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### 10.4 notes

1. 1. 10.4 Inscribed Angles February 16, 2012 BellworkHW pg. 676 #4­18 evens 1
2. 2. 10.4 Inscribed Angles February 16, 2012 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 = 1/2 of intercepted arc D C m<ADB = 1/2 mAB BHW pg. 676 #4­18 evens 2
3. 3. 10.4 Inscribed Angles February 16, 2012HW pg. 676 #4­18 evens 3
4. 4. 10.4 Inscribed Angles February 16, 2012 Theorem 10.8: If 2 inscribed <s intercept the same arc, then the <s are ≅. A D <ADB ≅ <ACB B CHW pg. 676 #4­18 evens 4
5. 5. 10.4 Inscribed Angles February 16, 2012 Inscribed Polygon: all vertices line on a circle Circumscribed circle: contains inscribed polygon circumscribed circles inscribed triangle inscribed pentagon http://www.youtube.com/watch?v=kSEZReRYPZ8 Theorem 10.9: If a right is inscribed, then hypotenuse is diameter.HW pg. 676 #4­18 evens 5
6. 6. 10.4 Inscribed Angles February 16, 2012 Inscribed Quadrilateral Theorem: a quad can be inscribed iff its opposite <s are supplementary.HW pg. 676 #4­18 evens 6
7. 7. 10.4 Inscribed Angles February 16, 2012 10.4 HW pg. 676 #4-18 evensHW pg. 676 #4­18 evens 7