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I am a quadrilateral that has 4 right angles. My opposite sides are parallel and of equal length. What figure am I?
A quadrilateral with 4 right angles and opposite sides that are parallel can be either a rectangle if the adjacent sides are of different length or a square if the adjacent sides are of the same length.
Does a trapezium have one pair of parallel sides?
Yes. Because the other 2 opposite sides do not keep the same distance
What has 4 sides but sides aren't all the same?
If all the sides are different lengths, it can only be called a quadrilateral. In general, four sided two dimensional objects are called quadrilaterals. When all four sides are the same length it is a square if all four corners are right angles. Otherwise it is a rhombus. If the opposite sides are the same length, it is a rectangle if the four corners are right angles, otherwise it is a parallelogram. In all these cases, the opposite sides are parallel to each other. There is also the trapezoid, a quadrilateral with only one pair of parallel sides. If the opposite sides are the same length but not parallel. it is an isosceles trapezoid.
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.
Why is a rhombus a parallelogram?
A parallelogram is a 4-sided figure whose opposite sides are parallel. and opposite angles are the same. The opposite sides of a rhombus are parallel, therefore it's a parallelogram. Its sides also happen to be all the same length, which isn't required in a parallelogram, and that's why it's a special kind of parallelogram and has a special name. However, a parallelogram is NOT a rhombus!
