The points A(-4,-1), ,B (-2,-4), , C(4,0) and D(2,3) are the vert… - Vidyadip

MCQ

The points $A(-4,-1), \,B (-2,-4),\, C(4,0)$ and $D(2,3)$ are the vertices of

A
Parallelogram
✓
Rectangle
C
Rhombus
D
None of these

✓

Answer

Correct option: B.

Rectangle

b
(b) Mid-points of diagonals are same.

Also ${S_{AB}} = \frac{{ - 4 + 1}}{{ - 2 + 4}} = \frac{{ - 3}}{2},\,\,\,{S_{AD}} = \frac{{3 + 1}}{{2 + 4}} = \frac{2}{3}$

${S_{AB}}\,.\,{S_{AD}} = - 1.$ Hence it is a rectangle.

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