Arcs of Chords Chords Connects two points on

Arcs of Chords

Chords Connects two points on the circumference of the circle. O U Segment SU is a chord. S

Arcs of Chords The endpoints of a chord form an arc. O Chord SU forms arc SU. U S

Five Things to Remember about Arcs of Chords In the same circle or congruent circles, #1 Congruent arcs have congruent chords. 80 Arc AK = 80 and arc TX = 80 T X O K A 80 Since Arc AK arc TX , then… Chord AK chord TX.

Five Things to Remember about Arcs of Chords In the same circle or congruent circles, #2 Congruent chords have congruent arc. T Chord TX = 8 and chord AK = 8 8 X O K A 8 Since chord AK chord TX , then… Arc AK arc TX.

Five Things to Remember about Arcs of Chords #3 A diameter that is perpendicular to a chord, bisects the chord and it’s arc. Segment CA is a diameter. Diameter CA is perpendicular to chord EF, so… E A C B F O Segment BE segment BF and… Arc CF arc CE.

Five Things to Remember about Arcs of Chords In the same circle or congruent circles, #4 Chords with the same distance from the center are congruent. R S X T 5 Since SX XW , then… 5 U W Segment SX = 5 and segment XW = 5 Chord RT chord UV. 80 V

Five Things to Remember about Arcs of Chords In the same circle or congruent circles, #5 Congruent chords are the same distance away from the center. R S 3 3 X 3 U T Since RT UV , then… SX XW. 3 W Chord RT = 6 and chord UV = 6. V