SOLUTION: The vertices of a Quadrilateral ABCD has coordinates A (-1,5) b(7,1)
C(5, -3) and D(-3,1)
show that the quadrilateral is a rectangle
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Question 353868: The vertices of a Quadrilateral ABCD has coordinates A (-1,5) b(7,1)
C(5, -3) and D(-3,1)
show that the quadrilateral is a rectangle
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!
HI,
*Note: showing the quadrilateral ABCD has all four interior angles 90° (right angles) can be done by showing the adjacent sides
are perpendicular to on another, by showing the slopes of the lines containing their respective coordinates are negative reciprocals.
.
using the point-slope form:
.
A (-1,5) B(7,1)
.
.
B(7,1) C(5, -3)
.
AB IS PERPENDICULAR TO BC
.
C(5, -3) D(-3,1)
.
BC IS PERPENDICULAR TO CD
.
D(-3,1) A (-1,5)
.
DA IS PERPENDICULAR TO AB
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