Question

The coordinates of three vertices of a square are (1, -2), (5, -2), and (5, 2). a) What are the coordinates of the fourth vertex? b) What is the area of the square?

Answer 1

Correct answer: D = (1, 2) ; A = 16 units²

Explanation:

Given:

A (1, - 2), B (5, -2), C (5, 2) D (?, ?)

If the square is drawn in the Descartes coordinate system, the coordinates are of the fourth vertex D (1, 2)

If we subtract the coordinates on the x axis

5 - 1 we get side of the square a = 4

The formula for the area of a square is:

A = a²

A = 4² = 16 units²

A = 16 units²

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