Locus of One Line and Locus of Two Points Geometry Unit 6, Lesson 3 Mrs. King.

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Presentation transcript:

Locus of One Line and Locus of Two Points Geometry Unit 6, Lesson 3 Mrs. King

Locus Theorem 2: The locus of points at a fixed distance, d, from a line, l, is a pair of parallel lines d distance from l and on either side of l. All three of these lines are parallel!!

Practice: What is the equation of the locus of points 5 units away from the y-axis? x=5 or x =-5

Practice: Describe the locus of points 2 units from the line y = -1. y=1 or y=-3

Locus Theorem 3: The locus of points equidistant from two points, P and Q, is the perpendicular bisector of the line segment determined by the two points.

Practice You are playing a game of paint ball. Two of your friends are hiding behind trees that are 10 feet apart. Where could you possibly stand so that your firing distance to each friend is exactly the same length? Try drawing a picture!!

Practice What is the equation of the locus of points equidistant from the points (4,2) and (-2,2)? x=1

Practice: Find the locus of points equidistant from the points (-1,-3) and (-1,4) y = ½