SOLUTION: Given the points A(-1. 7), B( 1,9) and C(-3,11) a)show that the equation of the perpendicular bisector of AB is given by x+y=8 b) find the coordinates of the point D, if ABCD us

Algebra ->  Distributive-associative-commutative-properties -> SOLUTION: Given the points A(-1. 7), B( 1,9) and C(-3,11) a)show that the equation of the perpendicular bisector of AB is given by x+y=8 b) find the coordinates of the point D, if ABCD us       Log On


   



Question 1118032: Given the points A(-1. 7), B( 1,9) and C(-3,11)
a)show that the equation of the perpendicular bisector of AB is given by x+y=8
b) find the coordinates of the point D, if ABCD us a parallelogram

Answer by Alan3354(69443) About Me  (Show Source):
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Given the points A(-1,7), B(1,9) and C(-3,11)
a)show that the equation of the perpendicular bisector of AB is given by x+y=8
Find the midpoint of AB
Find the slope of AB
The slope of perpendicular lines is the negative inverse.
Find the equation thru the midpoint with the slope found.
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b) find the coordinates of the point D, if ABCD us a parallelogram
Find the line thru A parallel to BC.
Find the line thru C parallel to AB.
D is the intersection of the 2 lines.