question_answer

Vertices of figure are (-2,2), (-2,­-1), (3,-1), (3,2). It is a [Karnataka CET 1998]

A) Square

B) Rhombus

C) Rectangle

D) Parallelogram

Correct Answer: C

Solution :

Let the points A, B, C and D are\[(-2,\,\,2)\], \[(-2,\,\,-1),\,\,(3,\,\,-1)\]  and (3, 2) respectively. Then, \[AB=3,\,\,BC=5\]            \[CD=3,\,\,DA=5\] Clearly angle between the diagonals is \[{{90}^{o}}\]. So rectangle.