Chapter 10.3 Essential Question  What are the properties of chords?

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Presentation transcript:

Chapter 10.3

Essential Question  What are the properties of chords?

What’s a chord again?  A chord is a segment inside a circle with endpoints on the circle.  Any chord will divide a circle into 2 arcs, a major and minor arc.

If there are any 2 chords of the same length, then their arcs are congruent.

What are the measures of arcs AB, AE, and BD? 360 – 75 – 75 = ÷2 = º

Find the measures of arcs AB and DB… Hint: they should be the same! 360 – 128= ÷2 = 116

What do you know about the 2 segments? 3x + 7 = 4x 7 = x

Find x 5x - 6 = 2x + 9 3x - 6 = 9 3x = 15 x = 5

Find x 6x + 9 = 8x = 2x = 2x11 = x

The chords are congruent when they are the same distant from the center.

What do we know about the 2 segments? 5x - 7 = 18 5x = 25 x = 5

If the 2 chords are congruent, what do we know about AQ and BQ? 4x + 1 = x + 8 3x + 1 = 8 3x = 7 x = 2.333

Find the given arc If the diameter is perpendicular to a chord then it splits the chord in half. Find the other 2 arcs A circle is 360º, so … 360 – 55 – 55 = ÷ 2 = 125° 125 °

Find the missing arcs If there are 4 arcs of equal size, what do you divide 360 by? ÷ 4 = 90

Classzone eWorkbook 10.3