Question

Can it be concluded that the given parallelogram is either a​ rhombus, a​ rectangle, or a​ square? Explain.

(picture included below)
Can it be concluded that the given parallelogram is either a​ rhombus, a​ rectangle, or a​ square?
A.) From the given information, no determination can be made whether the parallelogram is rhombus, a rectangle, or a square.
B.) The parallelogram is a square.
C.) The parallelogram is a rectangle.
D.) The parallelogram is a rhombus.

Answer 1

It can be concluded that the given parallelogram is a rhombus.

A rhombus is a parallelogram in which all four sides are congruent. In the diagram, it is given that the parallelogram has sides of equal length, which means that it is a rhombus.

However, it is not possible to conclude that the parallelogram is either a rectangle or a square based on the given information.