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in Coordinate Geometry by (38.9k points)
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A (2, 4), B (2, 8), C (6, 8), D (6, 4) are the points in first quadrant. If AB, BC, CD and DA joined then □ABCD is 

A) Rectangle 

B) Trapezium 

C) Parallelogram 

D) Square

2 Answers

+1 vote
by (57.0k points)
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Best answer

Correct option is (D) Square

AB = \(\sqrt{(2-2)^2+(8-4)^2}\) = 4 units

BC = \(\sqrt{(6-2)^2+(8-8)^2}\) = 4 units

CD = \(\sqrt{(6-6)^2+(4-8)^2}\) = 4 units

DA = \(\sqrt{(2-6)^2+(4-4)^2}\) = 4 units

AC = \(\sqrt{(6-2)^2+(8-4)^2}\) = \(\sqrt{16+16}\) = \(4\sqrt2\) units

BD = \(\sqrt{(6-2)^2+(4-8)^2}\) = \(\sqrt{16+16}\) = \(4\sqrt2\) units

Since, AB = BC = CD = DA and AC = BD

\(\therefore\) ABCD is a square.

+1 vote
by (36.7k points)

A) Rectangle

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