Chapter 9 Section-5 Segments Angles &

Inscribed angles Vertex is on the circle Sides contain chords of the circle They intercept their arcs Theorem 9-7 The measure of an inscribed angle is equal to half the measure of its intercepted arc. B D O 1

Corollary 1: If 2 inscribed angles intercept the same arc, then the angles are congruent. Corollary 2: An angle inscribed in a semicircle is a right angle.

1 2 Corollary 3: If a quadrilateral is inscribed in a circle, then its opposite angles are supplementary. 3 4 A Theorem 9-8: The measure of angle formed by a chord and a tangent is equal to half the measure of its intercepted arc. B C

#1 #2 E A 20○ y B 110○ x P O s H D 20○ C F t G

#3 #4 A E 80○ s 140○ 60○ F H y P Q B C x t G

#5 #6 60○ B D x y y Q 82○ O z z x

:9-5 Angles & Segments: Homework Homework: Section 9.5 Written Exercises (p. 354-355) #1-9 (all) & 19-23 (all) Mid-Chapter Review 9-1 thru 9-4 worksheet