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McGraw Hill Integrated II, 2012

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McGraw Hill Integrated II, 2012 View details

3. Arcs and Chords

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Exercise 36 Page 739

Recall that if a diameter of a circle is perpendicular to a chord, then it bisects the chord and its arc.

Sometimes

Practice makes perfect

We are given that in a circle AB is a diameter and HG is a chord that intersects AB at point X. Let's sketch a possible diagram of this situation.

Now let's recall that if a diameter of a circle is perpendicular to a chord, then it bisects the chord and its arc. This means that HX=XG only if AB is perpendicular to HG. Therefore HX and XG are sometimes congruent.

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Exercises p.736-740