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Are there any trapezoids that are also rhombuses?
yes - all the rhombuses. By definition a trapezoid has two parallel sides, a rhombus also has two parallel sides - because both pairs of opposite sides are parallel. So all rhombuses are trapezoids (but not all trapezoids are rhombuses)
Are all rhombus similar?
No. In order to be similar, their angles must be equal. Rhombuses don't all have to have the same set of angles. All a rhombus needs is four equal sides. Different rhombuses can be "squished" by different amounts.
Why is a square a rhombus?
A rhombus is any four-sided shape where all four sides are of equal length. A square has four sides. Each angle needs to be a right angle, a 90o angle, or else it will look skewed. If a side is longer than another side, it will look either skewed or like a rectangle. So, a square is any four-sided shape that has sides of equal length, which makes it a rhombus according to the definition above. Not all rhombuses are square - because their sides are equal but not their angles - but all squares are rhombuses.
Are some squares rhombuses?
All squares are rhombuses. A square is a special case of a rhombus with adjacent sides at right-angles. yes, squares are rhombuses.
Are all rhombuses also rectangles?
No. Rhombuses that are also rectangles are called squares. Rhombuses are parallelograms with 4 equal sides, while rectangles are parallelograms where all the angles are right.
