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Is a parallelogram with all sides the same length?
The definition is that opposite sides are parallel. That doesn't tell is they are same length or not. Should a parallelogram be of the special case of having it, then it is called rhombus, or in the case that also all angles are 90°, it's called a square.
Are all sides of a rectangle equal?
In general, no, all rectangles have four sides, with 90 degree angles, with opposite sides parallel. The adjacent sides are generally diffferent in length, but the parallel sides are the same length. In the special case when all sides are equal, that is called a square.
What geometric shape has four right angles and sides with two different lengths?
This is a special case of a quadrilateral called a rectangle.
Why can a square be called a rectangle but a rectangle cannot be called a square?
A rectangle is classed as any quadrilateral with four right angles, whereas a square is classed as a rectangle with all sides the same length. This being the case, all squares can be called rectangles, not all rectangles can be called squares, as some have sides of different lengths.
What is a rectangle with one pair of opposite sides longer than the other pair called?
You just described a run-of-the-mill rectangle. A special case of the rectangle, where all sides are equal, is the square. But if you have a quadrilateral with four right angles and one pair of opposite sides is longer than the other pair of opposite sides, you have a rectangle. Period.
