12-6 Locus: A Set of Points
Objective
To draw and describe a locus
Lesson Vocabulary
- locus
In the Solve It, you described the possible locations based on a certain condition. A locus is a set of points, all of which meet a stated condition. Loci is the plural of locus.
Essential Understanding You can use the description of a locus to sketch a geometric relationship.
Problem 1 Describing a Locus in a Plane
What is a sketch and description for each locus of points in a plane?
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the points 1 cm from a given point C
Draw a point C. Sketch several points 1 cm from C. Keep doing so until you see a pattern. Draw the figure the pattern suggests.
The locus is a circle with center C and radius 1 cm.
Think
Have you considered all possibilities?
Make sure that the endpoints as well as the segment are included in the sketch.
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the points 1 cm from
Draw
The locus is a pair of parallel segments, each 1 cm from
Table of Contents
- 6-1 The Polygon Angle-Sum Theorems
- 6-2 Properties of Parallelograms
- 6-3 Proving That a Quadrilateral Is a Parallelogram
- 6-4 Properties of Rhombuses, Rectangles, and Squares
- 6-5 Conditions for Rhombuses, Rectangles, and Squares
- 6-6 Trapezoids and Kites
- 6-7 Polygons in the Coordinate Plane
- 6-8 and 6-9 Coordinate Geometry and Coordinate Proofs