Sketches and Descriptions of Loci in Plane and Space
Explore the concept of loci in plane and space with sketches and descriptions. Learn about different conditions such as points equidistant from given points, lines, and planes. Understand how to draw loci satisfying specific conditions in a visually engaging manner.
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Presentation Transcript
12 12- -6 6 Locus: A Set of Locus: A Set of Points Points
Locus: A set of point, all of which meet a stated condition.
Problem 1: Describing a Problem 1: Describing a Locus in a Plane Locus in a Plane What is a sketch and description for each locus of points in a plane? (A) The points 1 cm from a given point C (B) The points 1 cm from ??
Problem 2: Drawing a Locus Problem 2: Drawing a Locus for Two Conditions for Two Conditions What is a sketch of the locus of points in a plane that satisfy these conditions? The points equidistant from intersecting lines k and m The points 5 cm from the point where k and m intersect
What is a sketch of the locus of points in a plane that satisfy these conditions? The points equidistant from two points X and Y The points 2 cm from the midpoint of ??
Problem 3: Describing a Locus in Space Problem 3: Describing a Locus in Space (A) What is the locus of points in space that are c units from a point D? (B) What is the locus of points in space that are 3 cm from a line l?
(A) In a plane, the points that are equidistant from two parallel lines (B) In space, the points that are equidistant from two parallel planes
