Download 1. NOTES: equation of the line equidistant to both points is X=5 the

1. Give an example of a point that is the same distance from (3,0) as it is from (7,0). Find lots of examples. Describe the configuration of all such points. In particular, how does this configuration relate to the two given points?
2. Two different points on the line y=2 are exactly 13 units from the point (7,14). Draw a picture of this situation, and then find the coordinates of these points.
Apr 20­9:22 AM
1. NOTES: equation of the line equidistant to both points is X=5 the line is perpendicular to x­axis the line is parallel to the y­axis
#2. NOTES:
Use right triangles to get the 13 (use the pythagorean theorem to get the distance between two diagonal points)
pythagorean theorem
pythagorean triple 5,12,13
Apr 20­9:24 AM
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Apr 20­11:17 AM
HOMEWORK #3and4
3. Verify that P(1,­1) is the same distance as A(5,1) as it is from B(­1,3). It is customary to say that P is equidistant from A and B. Find 3 more points that are equidistant from A and B. Can points equidistant from A and B be found in every quadrant?
none in QII
4. Let A(1,5) and B(3,­1). Verify that P(8,4) is equidistant from A and B. Find at least two more points that are equidistant from A and B. Describe all such points. Apr 20­9:25 AM
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Finish for Homework
5. Write a formula for the distance from A(­1,5) to P(x,y) and another formula for the distance from P(x,y) to B(5,2). Then write an equation that says that P is equidistant from A and B. Simplify your equation to linear form. This line is called the perpendicular bisector of AB. Verify this by calculating two slopes and one midpoint. Remember: ­what you do to one side must be done to the other side of an equation
** How can you cancel out a radical?
Apr 20­9:33 AM
6. A triangle that has two sides of equal length is called isosceles. Make up an example of an isosceles triangle, one of whose vertices is (3,5). If you can, find a triangle that does not have any horizontal or vertical sides. Homework Apr 20­2:26 PM
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Homework
7. If you were writing a book, and you had to define a mathematical figure called a kite, how would you word your definition?
Apr 20­2:22 PM
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