Question

If the coordinate axes contain two sides of a square ABCD such that A(0, a) and B(0, 0) are two vertices of the square, then point C is _______.

(-a, a)
(0, -a)
(a, 0)
(a, a)

Answer 1

The correct answer maybe (a , 0)

Answer 2

The point C is (a,0)

C is correct.

Explanation:

If the coordinate axes contain two sides of a square ABCD such that A(0, a) and B(0, 0) are two vertices of the square.

ABCD is a square.

Vertex moves from

`A\rightarrow B\rightarrow C\rightarrow D\rightarrow A`

B is (0,0). For C we have to move either left or right on x-axis to reach at C.

A (0,a) and B(0,0)

Length of AB = a

Length of BC must be a

Because all sides of square is same length.

If we moves "a" unit left from origin then coordinate is (-a,0)

If we moves "a" unit right from origin then coordinate is (a,0)

Possible coordinate of C: (-a,0) or (a,0)

Hence, The point C is (a,0)