Asked by Anonymous
Points W(-5,3), X(-1,6), and Y(5, -2) are three vertices of a rectangle. Determine the coordinates of the fourth vertex.
Answers
Answered by
Damon
Draw it !!!!! call missing point P
slope XY = (-2-6)/(5+1) = -8/6 =-4/3
so
for XY
y = -(4/3) x + something
BUT
WP has same slope
y = -(4/3) x + b
3 = -(4/3) (-5) + b
b = 3 - 20/3 = -11/3
3 y = -4x - 11 is WP
Find YP the same way it is parallel to XW
then
find intersection of YP and WP
slope XY = (-2-6)/(5+1) = -8/6 =-4/3
so
for XY
y = -(4/3) x + something
BUT
WP has same slope
y = -(4/3) x + b
3 = -(4/3) (-5) + b
b = 3 - 20/3 = -11/3
3 y = -4x - 11 is WP
Find YP the same way it is parallel to XW
then
find intersection of YP and WP
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