Three Dimensional Geometry Question 100
Question: Points (1, 1, 1), (-2, 4, 1), (-1, 5, 5) and (2, 2, 5) are the vertices of a
Options:
A) Rectangle
B) Square
C) Parallelogram
D) Trapezium
Show Answer
Answer:
Correct Answer: B
Solution:
Let $ A=(1,,1,,1) $ ; $ B=(-2,,4,,1) $ ; $ C=(-1,,5,5) $ & $ D=(2,,2,,5) $ $ AB=\sqrt{9+9+0}=3\sqrt{2},BC=\sqrt{1+1+16}=3\sqrt{2} $ and $ CD=3\sqrt{2} $ and $ AD=3,\sqrt{2}. $ Hence it is a square.
BETA
