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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

3. Arcs and Chords

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Exercise 4 Page 736

If the chord and the diameter are perpendicular, then the diameter bisects the chord and its arc.

67

Practice makes perfect

Let's look at the given diagram.

Let's recall the theorem about bisecting an arc.

Bisecting an Arc
If a diameter of a circle is perpendicular to a chord, then it bisects the chord and its arc.

Since the chord JK and the diameter LM are perpendicular, we know that the diameter bisects the chord and its arc JLK.

We are given the measure of JLK. This means we can calculate the measure of JL.

mJL=1/2mJLK

mJLK= 134

mJL=1/2( 134)

MoveRightFacToNumOne

1/b* a = a/b

mJL=134/2

Calculate quotient

mJL=67

Subchapter links

Exercises p.736-740