Question

Show that the points (-1,-1),(6,1),(8,8)and (1,6)when joined in the given order form a rhombus
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Answer 1

Answer:

by slope formula

if A(-1,-1),B(6,1),C(8,8),D(1,6)

slope of line ab=y2-y1

x2-x1

=1--(-1)

6--(-1)

=1+1

6+1

=2/7 thus we get diagonals and sides equal by doing same method for other slopes we can prove it is rhombus