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10.7 Locus. What is a locus?. Locus – the set of points that satisfy the same condition Example: Draw point A on your paper. Draw and describe the locus of all points 3 inches from A. Steps. Step One: Draw the original point/line/etc.
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What is a locus? • Locus – the set of points that satisfy the same condition • Example: • Draw point A on your paper. Draw and describe the locus of all points 3 inches from A.
Steps • Step One: Draw the original point/line/etc. • Step Two: Draw several points that fill requirement(s) for locus. • Step Three: Find the pattern and describe the shape. • Common shapes:
Example • What is the locus of points in the coordinate plane that are equidistant from A (0,0) and B (6,0) and 5 units from A?
Example 2 • What is the locus which is: 3 units from (-3, 3), 5 units from (2, -1), 2 units from (2, 3.5) • Locus (epicenter) is point at (0, 3.5)
Assignment • p. 645-646 3-16all, 28-30all