Question

Vertices of figure are (–2,2), (–2,­–1), (3,–1), (3,2). It is a .

• A. Square
• B. Rhombus
• C. Rectangle
• D. Parallelogram

Answer 1

Answer: (C)

Rectangle

Answer 2

Let the points A, B, C and D are

$( - 2,2 )$ , $( - 2 , - 1 ) , ( 3 , - 1 )$ and (3, 2) respectively.

Then $A B = 3 , B C = 5$

$C D = 3 , D A = 5$

\begin{tabular} { | l | l } $( - 2,2 )$ & $( 3,2 )$ \ \hline & \ \hline & \ \hline \end{tabular}

Clearly angle between the diagonals is $90 ^ { \circ }$.

So rectangle.