LESSON B: CIRCLE PROPERTIES Objectives: To determine and apply properties of chords, arcs, and central angles in circles. 10/10/2015Geometry/Mrs. McConaughy1.

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Presentation transcript:

LESSON B: CIRCLE PROPERTIES Objectives: To determine and apply properties of chords, arcs, and central angles in circles. 10/10/2015Geometry/Mrs. McConaughy1

Measuring Intercepted Arcs in Circles You measure a minor arc by the number of degrees in its central angle. 10/10/2015Geometry/Mrs. McConaughy2

If two chords in a circle are congruent, then they determine two central angles that are If two chords in a circle are congruent, then they determine two central angles that are _________. CHORDS AND CENTRAL ANGLES IN CIRCLES congruent 10/10/2015Geometry/Mrs. McConaughy3

If two central angles are congruent, then their two intercepted arcs must be _________. CENTRAL ANGLES & ARCS IN CIRCLES congruent 10/10/2015Geometry/Mrs. McConaughy4

CHORDS & ARCS IN CIRCLES If two chords in a circle are congruent, then their intercepted arcs must be ___________________. 10/10/2015Geometry/Mrs. McConaughy5

RELATIONSHIP BETWEEN TWO CHORDS IN A CIRCLE Two congruent chords in a circle are ____________ from the circle’s center. equidistant 10/10/2015Geometry/Mrs. McConaughy6

RELATIONSHIP BETWEEN TWO CHORDS IN A CIRCLE The perpendicular bisector of a chord _______________ _______________. intersects the circle’s center 10/10/2015Geometry/Mrs. McConaughy7

FINAL CHECKS FOR UNDERTANDING x m 10/10/2015Geometry/Mrs. McConaughy8

3x + 5 x x 70 FINAL CHECKS FOR UNDERTANDING 10/10/2015Geometry/Mrs. McConaughy9

Homework Assignment Circle Properties WS 10/10/2015Geometry/Mrs. McConaughy10