Question:
If O(0, 0), A(3, 0), B(3, 4), C(0, 4) are four given points then the figure OABC is a
(a) square
(b) rectangle
(c) trapezium
(d) rhombus
Solution:
The point O(0, 0) is the origin.
A(3, 0) lies on the positive direction of x-axis.
B(3, 4) lies in the Ist quadrant.
C(0, 4) lies on the positive direction of y-axis.
The points O(0, 0), A(3, 0), B(3, 4) and C(0, 4) can be plotted on the Cartesian plane as follows:
Here, the figure OABC is a rectangle.
Hence, the correct answer is option (b).
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