Question

The quadrilateral formed by the vertices (–1, 1), (0, –3), (5,2) and (4, 6) will be-

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

Answer 1

Answer: (B)

Parallelogram

Answer 2

Let A(–1, 1), B(0, –3), C(5, 2) and D(4, 6)

Ž AB = $\sqrt{17}$, CD = $\sqrt{17}$, BC = $\sqrt{50}$

AD = $\sqrt{50}$, AC = $\sqrt{37}$ and BD = $\sqrt{97}$

Obviously AB = CD and BC = AD

Also diagonal AC ¹ BD

Therefore quadrilateral is parallelogram.