Question

25 a parallelogram is both a rhombus and a rectangle, but not a square. (refer to the quadrilateral hierarchy.) a true b false

Explanation:

To determine the answer, we analyze the quadrilateral hierarchy:

• A rhombus is a parallelogram with all sides equal.
• A rectangle is a parallelogram with all angles 90°.
• A square is a parallelogram that is both a rhombus (all sides equal) and a rectangle (all angles 90°).
• If a parallelogram is both a rhombus and a rectangle, it must have all sides equal and all angles 90°, which defines a square. So a parallelogram can’t be both a rhombus and a rectangle without being a square. Thus, the statement is false.

Answer:

B. False