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)

The point C is (a,0)

C is correct.

Step-by-step 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

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)

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step-by-step explanation: