Question

The co-ordinates of the vertices of □ABCD are A(4, 1), B(4, 3), C(−2, 3) and D(−2, 1) respectively. Draw □ABCD and state its type.

Answer 1

$$\begin{gathered} \mathrm{Here},\mathrm{AB}=\mathrm{CD}\mathrm{and}\mathrm{BC}=\mathrm{AD}. \\ \text{That is},\mathrm{opposite}\mathrm{sides}\mathrm{are}\mathrm{equal}. \\ \mathrm{And}\mathrm{all}\mathrm{the}\mathrm{four}\mathrm{angles}\mathrm{of}\text{the}\mathrm{quadrilateral}\mathrm{are}90°,\mathrm{as}\mathrm{AB}\mathrm{and}\mathrm{CD}\mathrm{are}\mathrm{parallel}\mathrm{to}\mathrm{Y}-\mathrm{axis} \\ \mathrm{and}\mathrm{BC}\mathrm{and}\mathrm{AD}\mathrm{are}\mathrm{parallel}\mathrm{to}\mathrm{X}-\mathrm{axis}. \\ \therefore \mathrm{ABCD}\mathrm{is}\mathrm{a}\mathrm{rectangle}. \end{gathered}$$