Question
Is the below statement always, sometimes, or never true? If quadrilateral is both a rhombus and a rectangle, it is a square. Sometimes Never Cannot be determined. Always
Ask by Crawford Guzman. in the United States
Feb 25,2025
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Tutor-Verified Answer
Answer
The statement is always true.
Solution
The statement is always true.
Explanation:
A rhombus is defined as a quadrilateral with all four sides of equal length, and a rectangle is defined as a quadrilateral with four right angles. If a quadrilateral has both of these properties, then it must have equal sides and all angles equal (i.e., 90° each), which is precisely the definition of a square.
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Simplify this solution Extra Insights
The statement is always true! A square is indeed a special type of quadrilateral that satisfies both definitions of a rhombus (all sides equal) and a rectangle (all angles are right angles). So if a quadrilateral ticks both boxes, it's safe to say it’s a square! For a fun fact, the blend of these shapes comes from Greek roots, with "rhombus" meaning "to spin" and "rectangle" meaning "right angle." Imagine them dancing together to create the perfect square!
