Question

A right triangle is formed by connecting the 3 coordinates A, B and C as shown in figure. Find the point B if AB and BC are parallel to the coordinate axes.

• A. (2, 1)
• B. (3, 2)
• C. (1, 1)
• D. (5, 4)

Answer 1

The correct option is C

(1, 1)

The point B lies on both the lines AB and BC. Hence it satisfies the properties of both AB and BC.
Since BC is parallel to X-axis, y-coordinate of C is equal to y-coordinate of B.

$\therefore$ y-coordinate of B = 1
and AB is parallel to Y-axis, so x-coordinate of A is equal to x-coordinate of B.

$\therefore$ x-coordinate of B = 1

$\therefore$ point B is (1,1).