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?
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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 2
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?
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Homework #8. Suppose that triangle ABC has a 30 degree angle at A and a 60 degree angle at B. Let O be the midpoint of AB. Draw the circle centered at O that goes through A. Explain why this circle also goes through B and C. Angle BOC is called a central angle of the circle because its vertex is at the center. The minor arc BC is called a 60 degree angle because it subtends a 60 degree angle at the center. What is the angular size of minor arc AC? of major arc AC? How does the actual length of the minor arc AC compare to the length of minor arc BC?
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Homework #9. An equilateral triangle is inscribed in the circle of radius 1 centered at the origin (the unit circle). If one of the vertices is (1,0), what are the coordinates of the other two? The three points divide the circle into three arcs. What are the angular sizes of these arcs? Note any special relationships that you see.
**an inscribed triangle is a triangle whose vertices are on the circle.
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