Question

can it be concluded that the given parallelogram is either a rhombus, a rectangle, or a square? explain.

can it be concluded that the given parallelogram is either a rhombus, a rectangle, or a square?
a. the parallelogram is a rhombus.
b. from the given information, no determination can be made as to whether the parallelogram is a rhombus, a rectangle, or a square.
c. the parallelogram is a rectangle.
d. the parallelogram is a square.

Explanation:

A rhombus is defined as a parallelogram with a diagonal bisecting its angles. The given diagram shows a parallelogram where a diagonal creates congruent angles at the vertices it connects, meaning the diagonal bisects those angles. This satisfies the condition for a rhombus. A rectangle requires right angles (not indicated) and a square requires both rhombus and rectangle properties (also not indicated), so only the rhombus conclusion is valid.

Answer:

A. The parallelogram is a rhombus.