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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

4. Inscribed Angles

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Exercise 58 Page 748

If a chord and a radius are perpendicular, then the radius bisects the chord.

130

Practice makes perfect

In the given diagram, PM is a radius of the circle.

Since the chord HJ and the radius PM are perpendicular, we know that the radius bisects the chord and its arc. Therefore, HP and PJ are congruent.

Since we know by the exercise that HP=65, then HJ measures 2 * 65 = 130^(∘).

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Exercises p.745-748