Practice and Problem-Solving Exercises

A Practice

See Problem 1.

Sketch and describe each locus of points in a plane.

7. points equidistant from the endpoints of P Q ¯ p q bar
8. points in the interior of ∠ A B C angle eh b c  and equidistant from the sides of ∠ A B C angle eh b c
9. points equidistant from two perpendicular lines
10. midpoints of radii of a circle with radius 2 cm

See Problem 2.

For Exercises 11–15, sketch the locus of points in a plane that satisfy the given conditions.

11. equidistant from points M and N and on a circle with center M and radius = 1 2 M N radius , equals . 1 half m n
12. 3 cm from G H ¯ g h bar  and 5 cm from G, where G H = 4.5  cm g h equals 4.5 , cm
13. equidistant from the sides of ∠ P Q R angle p q r  and on a circle with center P and radius PQ

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