Bellringer Have Worksheet from Monday (plus p. 767 #6 – 8, 18 – 19 on back) and Notes out on your Desk Work on p. 779 #44 – 45

Pop Quiz!!

Arcs and Chords

Arc Vocabulary A minor arc is any arc that measures less than 180° A major arc is any arc that measures more than 180° A semicircle measures exactly 180°

How to Name an Arc Just like a segment, name a minor arc by its endpoints with an arc over the points If it is a major arc, you need the two endpoints with a third point in the middle

Measures of an Arc The measure of a minor arc is equal to the central angle. A central angle is an angle whose vertex is the center of a circle The measure of a major arc is either: Add up the arc pieces to get the total arc Subtract the given minor arc from 360

Arc Addition Postulate You can add two smaller arcs together to get the total for a larger arc Two arcs are congruent arcs if they have the same measure

Arc and Chord Theorems Theorem 10.4: In the same circle, or in congruent circles, two minor arcs are congruent if and only if their corresponding chords are congruent Theorem 10.5: If a diameter of a circle is perpendicular to a chord, then the diameter bisects the chord and its arc

Arc and Chord Theorems Theorem 10.6: If one chord is a perpendicular bisector of another chord, then the first chord is a diameter Theorem 10.7: In the same circle, or in congruent circles, two chords are congruent if and only if they are equidistant from the center

Classwork/Homework 10.2 Worksheet Quiz on Friday