When the coordinates (1, 1), (4, 4), (7, 1), and (4, -2) are joined, which shape is formed?
Parallelogram
Rectangle
Trapezoid
Square

Solution:

When the coordinates are joined, we observe that all the sides of the figure formed are of the same length and the diagonals bisect each other at 90^°.

The lengths of the diagonals are equal.

The opposite sides are parallel.

So the properties of a square are matched.

Therefore, the shape formed is a square.

When the coordinates (1, 1), (4, 4), (7, 1), and (4, -2) are joined, which shape is formed?
Parallelogram
Rectangle
Trapezoid
Square

Summary:

When the coordinates (1, 1), (4, 4), (7, 1), and (4, -2) are joined, the shape formed is a square.