1. Chapter 9
Section-5
Segments
Angles &

2. 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

3. 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.

4. 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

5. #1 #2 E A
20○ y B
110○ x P O s H D
20○ C F t G

6. #3 #4 A E
80○ s
140○
60○ F H y P Q B C x t G

7. #5 #6
60○ B D x y y Q
82○ O z z x

8. :9-5 Angles & Segments: Homework
Homework:
Section 9.5 Written Exercises (p ) #1-9 (all) & (all)
Mid-Chapter Review 9-1 thru 9-4 worksheet