Look at the square below:
Is the square a rhombus?
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Look at the square below:
Is the square a rhombus?
To solve this problem, we'll consider the definitions:
Notice that for a quadrilateral to be a rhombus, it simply requires all sides to be equal, without any condition on the angles. Since a square has all four sides equal, it meets the fundamental requirement of a rhombus.
Therefore, every square can be classified as a rhombus because it satisfies the condition that all sides are equal.
Hence, the correct answer is Yes, the square is a rhombus.
Yes
Look at the square below:
Is a parallelogram a square?
Think of it like classification: all squares are rhombuses, but not all rhombuses are squares. A square is a special type of rhombus that also has angles.
A rhombus has all four sides equal in length. That's the only requirement! The angles can be any measure, as long as they add up to .
Only if it's also a square! A rectangle has angles but doesn't necessarily have equal sides. For it to be a rhombus, all sides must be equal.
Use a hierarchy: Square → has all properties of both rectangle AND rhombus. Rectangle → has angles. Rhombus → has equal sides.
Yes! Parallelograms (opposite sides parallel), trapezoids (one pair of parallel sides), and irregular quadrilaterals exist. Each has different requirements.
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