Question

Three vertices of a square ABCD are A(2, 0), B(−3, 0) and C(−3, −5). Its fourth vertex D is ______.

Options

• (2, 5)

• (2, −5)

• (−2, 5)

• (−2, −5)

Answer 1

Three vertices of a square ABCD are A(2, 0), B(−3, 0) and C(−3, −5). Its fourth vertex D is (2, −5).

Explanation:

Given vertices of rectangle ABCD are A(2, 0), B(−3, 0) and C(−3, −5). Notice that B and C share the same x-coordinate −3, forming a vertical side of length 5. Side AB is horizontal along the x-axis with length 5 from x = −3 to x = 2. Therefore, vertex D must align horizontally with A(2, 0) and vertically with C(−3, −5), giving the coordinates (2, −5).