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10-6 – 10-8 Locus, Loci, and Locus construction. Locus is a set of points that satisfy a condition or a set of conditions. Loci is plural. Key words: In a plane, and in space
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10-6 – 10-8 Locus, Loci, and Locus construction Locus is a set of points that satisfy a condition or a set of conditions. Loci is plural. Key words: In a plane, and in space They may give you different pictures (circle v sphere; parallel lines v cylinders; perpendicular line v perpendicular planes) and others.
Standard example. Let’s find the set of all points on a plane from point A that are BC away. B C A
Set of all points in a plane 2 cm away from a line. How would it change if it was a line segment?
Groups of 4 (I pick them) In your own notes, you will try to describe the loci, see what you can come up with.
Draw two points labeled A and B. Find all the points on a plane equidistant from both A and B. Can you tell me what’s special about it? Draw two lines m and n that intersect at point P. Find all the points on a plane that are equidistant from line m and n. Draw 3 non collinear points A, B, C. Find all points on a plane that are equidistant from A, B, and C. Draw line l. Find all the points in space that are 1 cm from line l. Given a circle Q and line m. What are all the possible locus points and draw what they would look like. Discuss in context of space\plane
