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

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

description

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

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

Page 1: Think About It!! Describe the locus of points a distance of 2 from a line segment of length 5.

Think About It!!

Describe the locus of points a distance of 2 from a line segment of length 5.

Page 2: 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

GeometryUnit 7, Day 4Mr. Zampetti

Page 3: Think About It!! Describe the locus of points a distance of 2 from a line segment of length 5.

Objective:

To learn how to find the locus of two parallel lines

To learn how to find the locus of two intersecting lines

Page 4: Think About It!! Describe the locus of points a distance of 2 from a line segment of length 5.

Locus Theorem 4:

The locus of points equidistant from two parallel lines, l1 and l2 , is a line parallel to both l1 and  l2 and midway between them.

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

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.

Page 6: Think About It!! Describe the locus of points a distance of 2 from a line segment of length 5.

More Practice:

http://www.regentsprep.org/Regents/math/geometry/GL1/PracLoc4.htm

Page 7: Think About It!! Describe the locus of points a distance of 2 from a line segment of length 5.

Locus Theorem 5:

The locus of points equidistant from two intersecting lines, l1 and l2, is a pair of bisectors that bisect the angles formed by l1 and l2 .

Page 9: Think About It!! Describe the locus of points a distance of 2 from a line segment of length 5.

Homework

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