WARM UP Find the following measures.. Section 9.4 Relationships between Arcs and Chords.

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Presentation transcript:

WARM UP Find the following measures.

Section 9.4 Relationships between Arcs and Chords

CHORDS Remember diameters are also chords. By definition a chord is a segment that has two end points on the circle.

CHORDS and ARCS What is true about chords and the arcs they make? What is x? Congruent chords make congruent arcs o xoxo

ARCS and CHORDS What happens if you know the arcs? What is y? Congruent arcs make congruent chords y o 16.5

Diameters and Chords A diameter that is perpendicular to a chord bisects the chord and its arc. Find the measure of x and the measure of each arc. x o o o

Same circles or Congruent circles Congruent chords are equally distant from the center x 11 4 y x = 4 y = 11

Find the missing values. z z = 13 – 5 because it’s a radius z = 8 13 y = 12 because its equal to x. x = 12 because it’s a Pythagorean Triple.

o o Find the missing values. 60 o 30 o 60 o 30 o 6 Use a triangle to solve for the missing legs. 3 = 3 60 o 120 o

Find the missing values. o o 105 o 8 16

QUIZ 9.1 Circle Terms 9.2 Tangents 9.3 Arcs and Central Angles 9.4 Chords and Arcs

Practice Problems Page 346 Classroom Exercises #4, 5 Page 347 Written Exercises #10 – 13