15. • Use the origin as vertex Y of the triangle. • Place leg Y w Z w of the triangle along the positive x-axis. • Position the triangle in the first quadrant. • Since X is on the y-axis, its x-coordinate is 0. Its y-coordinate is b because X w Y w is b units long. • Since Z is on the x-axis, its y-coordinate is 0. Its x-coordinate is 2 b because XY 5 b and ZY 5 2( XY ) or 2 b . 16. Since n PQR is equilateral, the x-coordinate of R is halfway between 0 and 2 a , or a .So ,thecoordinates of R are ( a , b ). 17.Since n LPQ is right isosceles, L w P w > P w Q w and L w P w ' P w Q w. Then Qand P have the samex-coordinate, so the x-coordinate of Pis a . P is onthe x-axis, so its y -coordinate is 0. The distancefrom Lto Pis aunits. The distance from Pto Qmust be the same. So, the coordinates of Q are ( a , a) and the coordinates of P are ( a ,0). 18. n JKNis isosceles, so J w K w > J w N w . The distance from Jto K is 2 aunits. The distance from Jto N must be the same. Nis on the y
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This note was uploaded on 12/19/2011 for the course MAC 1140 taught by Professor Dr.zhan during the Fall '10 term at UNF.