# Find the equations of the diagonals of the square formed by the lines x = 0, y = 0, x = 1 and y = 1.

Given:

The square formed by the lines x = 0, x = 1, y = 0 and y = 1.

Concept Used:

The equation of the line passing through the two points ( x1, y1) and ( x2, y2)

To find:

The equation of diagonal of the square.

Explanation:

Clearly, the vertices of the square are A(0, 0), B(1, 0), C(1, 1) and D(0,1) .

The diagonal passing through A (0, 0) and C(1, 1) is

Formula used:

y = x

And, the diagonal passing through B(1, 0) and D(0, 1) is

Formula used:

y = -x + 1

x + y = 1

Hence, the equation of diagonals are y = x and x + y = 1.

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