Unformatted text preview: Find all of the points on the y axis which are 5 units from the point (−5, 3).
6. Find all of the points on the xaxis which are 2 units from the point (−1, 1).
7. Find all of the points of the form (x, −x) which are 1 unit from the origin.
8. Let’s assume for a moment that we are standing at the origin and the positive y axis points
due North while the positive xaxis points due East. Our Sasquatchometer tells us that
Sasquatch is 3 miles West and 4 miles South of our current position. What are the coordinates
of his position? How far away is he from us? If he runs 7 miles due East what would his new
position be?
9. Verify the Distance Formula 1.1 for the cases when:
(a) The points are arranged vertically. (Hint: Use P (a, y1 ) and Q(a, y2 ).)
(b) The points are arranged horizontally. (Hint: Use P (x1 , b) and Q(x2 , b).)
(c) The points are actually the same point. (You shouldn’t need a hint for this one.)
10. Verify the Midpoint Formula by showing the distance between P (x1 , y1 ) and...
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 Fall '13
 Wong
 Algebra, Trigonometry, Cartesian Coordinate System, The Land, The Waves, René Descartes, Euclidean geometry

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