Think About It!! Describe the locus of points a distance of 2 from a line segment of length 5.

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Presentation transcript:

Think About It!! Describe the locus of points a distance of 2 from a line segment of length 5.

Locus of 2 Parallel Lines and Locus of 2 Intersecting Lines Geometry Unit 7, Day 4 Mr. Zampetti

Objective: To learn how to find the locus of two parallel lines To learn how to find the locus of two intersecting lines

Locus Theorem 4: The locus of points equidistant from two parallel lines, l 1 and l 2, is a line parallel to both l 1 and l 2 and midway between them.

Practice: During your morning jog, you run down an alley between two buildings which are parallel to one another and are 20 feet apart. Describe your path through the alley so that you are always the same distance from both buildings. You run parallel to the buildings, 10 feet from each.

More Practice: th/geometry/GL1/PracLoc4.htm th/geometry/GL1/PracLoc4.htm

Locus Theorem 5: The locus of points equidistant from two intersecting lines, l 1 and l 2, is a pair of bisectors that bisect the angles formed by l 1 and l 2.

Practice th/geometry/GL1/PracLoc5.htm th/geometry/GL1/PracLoc5.htm

Homework Work Packets: Locus of 2 Parallel Lines, Locus of 2 Intersecting Lines