Coordinate Geometry Question 40
Question: If vertices of any quadrilateral are (0, -1), (2,1), (0, 3) and (- 2,1), then it is a
[RPET 1999]
Options:
A) Parallelogram
B) Square
C) Rectangle
D) Collinear
Show Answer
Answer:
Correct Answer: B
Solution:
Let $ A(0,-1),B(2,1),C(0,3) $ and $ D(-2,1). $ Obviously $ AB=BC=CD=AD=2\sqrt{2} $ Also, $ AC=BD=4 $ and slope of line $ AB=1, $ Slope of line $ AD=-1 $ .
$ \therefore \angle DAB=90^{\circ} $ . Similarly, $ \angle B=\angle C=\angle D=90^{\circ} $ i.e. each angle is right angle.
$ \therefore $ Quadrilateral is a square.
BETA
