SOLUTION: the coordinates of the vertices of a square ABCD are A(0,6) B (2,1) C (7,3) D (5,8) i) find the gradient of all four sides of ABCD ii) what do you observe about the gradients o

Algebra ->  Length-and-distance -> SOLUTION: the coordinates of the vertices of a square ABCD are A(0,6) B (2,1) C (7,3) D (5,8) i) find the gradient of all four sides of ABCD ii) what do you observe about the gradients o      Log On


   

Question 1126779: the coordinates of the vertices of a square ABCD are A(0,6) B (2,1) C (7,3) D (5,8)
i) find the gradient of all four sides of ABCD
ii) what do you observe about the gradients of the opposite sides of a square ?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
slope of AB
+%28+6+-+1+%29+%2F+%28+0+-+2+%29++=+-5%2F2+
slope of BC
+%28+3+-+1+%29+%2F+%28+7+-+2+%29+=+2%2F5+
slope of CD
+%28+8+-+3+%29+%2F+%28+5+-+7+%29+=+-5%2F2+
slope of AD
+%28+8+-+6+%29+%2F+%28+5+-+0+%29+=+2%2F5+
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AB is parallel to CD ( same slope )
BC is parallel to AD ( same slope )
Opposite sides have same slope