Locus Page 2 & 4. 1. Given: A and B Find points equidistant from these two fixed points Find points equidistant from these two intersecting lines Find.

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Presentation transcript:

Locus Page 2 & 4

1. Given: A and B Find points equidistant from these two fixed points Find points equidistant from these two intersecting lines Find points equidistant from these two parallel lines Find points that are at a distance d from the line Find points that are at a distance d from the fixed point A. Sketch the five fundamental loci in your notes please.

Essential Question: What are the five fundamental Locus?

1) Make a diagram of the fixed points or lines 2) Locate a point that satisfies the condition. Then locate several other points that satisfy it. 3) Through the points, draw a dotted line or smooth curve of the locus. 4) Describe in words the locus. Recall our procedure from yesterday:

3. What is the locus of a car that is being driven down a street equidistant from the two opposite parallel curbs. 4. A dog is tied to a stake by a rope 6 meters long. Discover the boundary of the surface over which he may roam. 6 m The locus of points is a third line, parallel to the curbs, midway between them. The locus of points is a circle centered at the stake, with a radius of 6 m. Page 2 Now try 5-12 on page 2 of your packet.

The locus of points is the angle bisector of the angle formed by the two intersecting roads. The locus of points is the perpendicular bisector of the segment formed between the two floats. Page 2

10 cm The locus of points is the perpendicular bisector of the segment joining A and B The locus of points is a circle centered at the given point, with a radius of 10 cm. Page 2

We are now going to look at how locus can be used in the coordinate plane.

Page 4 17.Write an equation of the locus of all points: a. 2 units from the x-axis and above it. b. 5 units from the y-axis and to the right of it. c. 4 units from the y-axis and to the left of it. d. 3 units from the x-axis and below it. e. Equidistant from the x-axis and the y-axis and whose coordinates are the same.

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yes No yes Page 4

Essential Question: What are the five fundamental Locus?

Homework Page 2 13,14,15 Page 4 19, 21, 22 d,e,f

The locus of points is one line, parallel to the horizontal line. The locus of points is a circle whose center is the center of the steering wheel, with a radius the radius of the steering wheel. Page 2

4 m 4” The locus of points is a line parallel to the original lines midway between them. The locus of points is 2 lines parallel to the original line on each side 4” away from the original. Page 2

3 3 The locus of points is a line parallel to the original lines midway between them. The locus of points is a line parallel to the opposite sides of the square, midway between them. Page 2

The locus of points is the perpendicular bisector of the segment joining A and B 16. What is the locus of the center of a penny that is rolling around a quarter if the edges of the two coins are always touching each other. 25¢ 1¢1¢ The locus of points is a circle with a radius that extends from the center of the quarter to the center of the penny. Page 2

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yes No yes Page 4