# Unit 7 Polygons and Quadrilaterals Homework 5: Rhombi and Squares

The fifth homework assignment in the unit 7 polygons and quadrilaterals curriculum requires students to learn the difference between rhombi and squares. Rhombi and squares are both quadrilaterals, meaning they have four sides and four angles. Rhombi have all sides equal in length, while squares have four right angles and all four sides equal in length. This assignment will help students develop a deeper understanding of the characteristics of these two shapes and how they differ from each other.

## Defining a Rhombus

A rhombus is a quadrilateral with four sides of equal length. The angles of a rhombus are not all the same, but they can be acute or obtuse. A rhombus is also known as a diamond shape. The diagonals of a rhombus are perpendicular to each other and cut each other in half at the center.

## Defining a Square

A square is a quadrilateral that has four sides of equal length, and all four angles are right angles. This means that a square has four sides that are perpendicular to each other. The diagonals of a square are equal in length and cut each other in half at the center. A square is also known as a rectangle.

## Comparing Rhombi and Squares

When comparing rhombi and squares, the key difference is that rhombi have all sides equal in length, while squares have four right angles and all four sides equal in length. While both shapes have four sides and four angles, only squares are considered rectangles. Rhombi are considered diamonds, as mentioned earlier. The diagonals of a rhombus and square are both perpendicular to each other and cut each other in half at the center, however, only the diagonals of a square are equal in length.

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This homework assignment requires students to understand the differences between rhombi and squares. Rhombi have all sides equal in length, while squares have four right angles and all four sides equal in length. Rhombi are also known as diamonds, while squares are rectangles. The diagonals of both rhombi and squares are perpendicular to each other and cut each other in half at the center, but only the diagonals of a square are equal in length.