Arcs and Chords Section 10-3

Example: Applying Congruent Angles, Arcs, and Chords TV  WS. Find mWS. = 88°

Example: Applying Congruent Angles, Arcs, and Chords C  J, and mGCD  mNJM. Find NM.

Example: PT bisects RPS. Find RT. RT = 12

Example: Find each measure. A  B, and CD  EF. Find mCD. mCD = 100

In a circle or congruent circles, two chords are congruent if and only if they are equidistant from the center of the circle

Example: Find NP. NP = 2(15) = 30 Hint - Use the Pythagorean Theorem to find NS first NP = 2(15) = 30

Example: Find QR to the nearest tenth. QR = 2(17.3) = 34.6

Arcs, Chords, and Polygons The chords of adjacent arcs can form a polygon. The polygon is inscribed in the circle and the circle circumscribes the polygon

Lesson Quiz: Part II Find each measure. 2. NGH 139 3. HL 21

Lesson Quiz: Part III 4. T  U, and AC = 47.2. Find PL to the nearest tenth.  12.9