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A parallelogram is not a rectangle. However, a rectangle is a parallelogram because it has two pairs of opposite sides that are parallel
The rhombus (all four sides equal length) and rectangle (all four angles 90°) are both special cases of parallelogram. (2 pairs of parallel sides). There are many cases of parallelogram which are not either rhombus or rectangle. If a parallelogram has one pair of sides = 3, and the other pair of sides = 5, and none of the angles are 90°, then it is neither rhombus or rectangle.
A rectangle has three rules: -2 pairs of parallel sides -four 90 degree angles -2 pairs of congruent sides A parallelogram has three rules: -2 pairs of parallel sides - 2 pairs of congruent angles -2 pairs of congruent sides The only difference is that a rectangle has 90 degree angles, which a parallelogram doesn't have. That's why a parallelogram can't be a rectangle. A rectangle follows all the rules of being a parallelogram, so it can be a parallelogram.
A rectangle is a quadrilateral with two pairs of parallel sides. That defines a parallelogram.
When all 4 corners are right angles. A parallelogram has two pairs of parallel sides. A rectangle has two pairs of parallel sides; therefore a rectangle is a parallelogram. A rectangle also has four 90° angles; a parallelogram does not necessarily have four 90° angles, therefore a parallelogram may, or may not, be a rectangle.