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Is a rectangle a parallelogram Why?
yes, a rectangle is a parallelogram. A parallelogram is a polygon (closed shape with straight sides) that has exactly 2 pairs of parallel sides. A rectangle is a parallelogram with 4 right angles(90o). "Rectangle" is more specific. So all rectangles are parallelogram but not all parallelograms are rectangles.
How is a parallelogram different from a rhombus?
Technically, a rhombus is a parallelogram, but a parallelogram is not always a rhombus. A parallelogram is any four-sided shape with two sets of parallel lines. A rhombus is a parallelogram with all equivalent side lengths. So, a rhombus is a more specific parallelogram. (And so is a a square or a rectangle.)
How are a trapezoid and a parallelogram different?
A trapezoid and parallelogram are both quadrilaterals. Their top and bottoms are parallel. In a parallelogram, all four sides are parallel making it look like a rectangle that was pushed on an angle. The trapezoid is more like the shape of an "A" with a square top.
Are all parallelograms a square?
No. A parallelogram by definition is a quadrilateral that has two pairs of parallel sides. A square by definition is a parallelogram with 4 congruent sides and angles (each measuring 90 degrees). So there are more finite requirements that must be fulfilled for a shape to be a square. A parallelogram doesn't have to be a square--it could be a rectangle, for instance. Or, it could be just a parallelogram--nothing more. However, a square isalways a parallelogram. :)
What shape has 2 pairs of equal sides but no right angles?
A parallelogram that isn't a rhombus, rectangle, or square has. Any polygon with more than 4 sides could also have.
