Show that the points (–4, –7), (–1, 2), (8, 5) and (5, –4) taken in order are the vertices of a
rhombus and find its area.
Answers
slope of line AB = -1-(-4)/(-7-2)
= 3/9
= 1/3 _____________ (1)
slope of line BC = 5-2/8-(-1)
= 3/8+1
=3/9
=1/3 ______________(2)
slope of line CD = 5-2/8-(-1)
= 3/9
= 1/3 _____________(3)
slope of line AD = 5-4/-4-(-7)
=1/-4+7
=1/3 _______________(4)
Therefore,
slope of line AB = slope of line BC = slope of line CD = slope of line AD ___________ ( from 1 2,3,4)
Therefore,
AB=BC=CD=AD
if all sides of quadrilateral are congruent then it is said to be Rhombus
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