Is a square a rhombus becaus it has 4 equal sides? is a square a parallelogram because it has 2 pairs of parallel sides?

Jeff says that a square is has rhombus because it has 4 equal sides.
Brianna says that a square is a parallelogram because it has 2 pairs of parallel sides.. who is correct? explain.

1 Answer
Apr 26, 2018

They are both correct!

Explanation:

  • A square is a 4-sided shape (called a quadrilateral) that has all equal sides and all equal 90 degree angles. Because the angles are all #90^@#, the opposite sides are parallel.
    https://commons.wikimedia.org/wiki/File:Square_definitionsvg

  • A rhombus is a shape with all equal sides. Since a square has all equal sides, a square is a rhombus.

#"square = rhombus"#

  • A parallelogram is a shape where both sets of opposite sides are parallel. Since the opposite sides of a square are parallel, a square is also a parallelogram.

#"square = parallelogram"#

So both Jeff and Brianna were correct.