 asked in category: General Last Updated: 26th May, 2020

# Is rhombus always a parallelogram?

If the shape is below another, then it is always the shape above it as well. So a rhombus is always a parallelogram, a square is always a rectangle, and always a parallelogram, and always a quadrilateral, etc.

Considering this, is a rhombus always a parallelogram yes or no?

Yes, a rhombus is a quadrilateral with 4 equal sides. Every square has 4 equal length sides, so every square is a rhombus. A parallelogram is a quadrilateral with 2 pairs of parallel sides. The opposite sides on every square are parallel, so every square is a parallelogram.

Beside above, is a square always a parallelogram? A square is a parallelogram. This is always true. Â Squares are quadrilaterals with 4 congruent sides and 4 right angles, and they also have two sets of parallel sides.

In this way, is a parallelogram a rhombus?

DEFINITION: A rhombus is a parallelogram with four congruent sides. THEOREM: If a parallelogram is a rhombus, each diagonal bisects a pair of opposite angles. THEOREM Converse: If a parallelogram has diagonals that bisect a pair of opposite angles, it is a rhombus.

Is a parallelogram always a trapezoid?

It depends. A Parallelogram is a quadrilateral with two ses of parallel sides. If you use definition A then parallelograms and trapezoids are mutually exclusive, that is it is impossible to be both. So under definition A, a parallelogram is never a trapezoid.

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26th May, 2020

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