12 2 Arcs and Chords Rigor Apply properties

12 -2 Arcs and Chords Rigor : Apply properties of angles, arcs and chords in a circle. Relevance: Archeology, Statistics, Anything circular Holt Mc. Dougal Geometry

12 -2 Arcs and Chords • Turn in your workbook to page 499 • Read and highlight the definitions and theorems on pages 499 – 500 • Complete Reflection questions 1 a and 1 b Minor arcs may be named by two points. Major arcs and semicircles must be named by three points. Holt Mc. Dougal Geometry

12 -2 Arcs and Chords Example 1 The circle graph shows the types of grass planted in the yards of one neighborhood. Find m. KLF. Holt Mc. Dougal Geometry

12 -2 Arcs and Chords Example 2 B) Find m. LJN Holt Mc. Dougal Geometry

12 -2 Arcs and Chords Arc and Chord Theorems 1. In a circle or congruent circles, 2 central angles are congruent if and only if their chords are congruent and their intercepted arcs are congruent. 2. If a radius (or diameter) is perpendicular to a chord, then it bisects the chord and the chord’s intercepted arc. Holt Mc. Dougal Geometry

12 -2 Arcs and Chords Example 3 TV WS. Find m. WS. Holt Mc. Dougal Geometry

12 -2 Arcs and Chords Example 4 PT bisects RPS. Find RT. Holt Mc. Dougal Geometry

12 -2 Arcs and Chords Example 5 Calculate NP. Holt Mc. Dougal Geometry

12 -2 Arcs and Chords 12 -2 Assignments Honors • Primary Assignment: due Wednesday o join. quizizz. com o Codes: • Period 2 – • Period 4 – • Period 6 – • Secondary Assignment: o Workbook pg 501 ALL o Textbook pg 806 – 808 #16 – 18, 30, 38, 39 Holt Mc. Dougal Geometry

12 -2 Arcs and Chords 12 -2 Assignments Standard • Primary Assignment: due Wednesday o join. quizizz. com o Codes: • Period 1 – • Period 5 – • Period 7 – • Secondary Assignment: o Workbook pg 501 ALL o Textbook pg 806 – 808 #16 – 18, 30, 38, 39 Holt Mc. Dougal Geometry