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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 18 Page 737

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

42^(∘)

Practice makes perfect

We want to find the measure of LK.

Let's recall the Perpendicular Chord Bisector Theorem.

Perpendicular Chord Bisector Theorem
If a diameter or radius of a circle is perpendicular to a chord, then it bisects the chord and its arc.

Since the chord ML and the diameter JK are perpendicular, we know that the diameter bisects the chord and its arc. Arc measure/Bisected → 84^(∘)/2= 42^(∘)

Subchapter links

Exercises p.736-740