Every square is rhombus?

1 Answer
Mar 15, 2018

See a solution process below:

Explanation:

Definition of a rhombus:
A 4-sided flat shape with straight sides where all sides have equal length.

Also opposite sides are parallel and opposite angles are equal.

Definition of a square:
A 4-sided flat shape with straight sides where:

• all sides have equal length, and
• every interior angle is a right angle (90°)

A square has all these features of a rhombus:

  • A 4-sided flat shape with straight sides
  • All sides have equal length
  • every interior angle is a right angle (90°) therefore opposite angles are equal
  • every interior angle is a right angle (90°) therefore opposite sides are parallel

Therefore, every square is a rhombus.