The points A (-2, -1), B (1, 0), C (4, 3) and D (1, 2) are corners of a


A) Square

B) Trapezium

C) Parallelogram

D) Rectangle

Correct Answer:
C) Parallelogram

Description for Correct answer:
\( \Large AB = \sqrt{3^{2}+1^{2}}=\sqrt{10} \)

\( \Large BC = \sqrt{3^{2}+3^{2}}=3\sqrt{2} \)

\( \Large CD = \sqrt{3^{2}+1^{2}}=\sqrt{10} \)

\( \Large DA = \sqrt{3^{2}+3^{2}}=3\sqrt{2} \)

Therefore, Diagonal AC = \( \Large \sqrt{6^{2}+4^{2}}=\sqrt{52} \)

and diagonal BD = \( \Large \sqrt{0+2^{2}}=2 \)

Since opposite sides are equal and the diagonals are not equal, hence ABCD is a parallelogram.

Part of solved Quadrilateral and parallelogram questions and answers : >> Elementary Mathematics >> Quadrilateral and parallelogram








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