In this post, we will explore the properties and theorems specific to rectangles and squares.

Rectangles:

• A rectangle is a quadrilateral with four right angles.
• Opposite sides of a rectangle are congruent.
• Diagonals of a rectangle are congruent and bisect each other.

Squares:

• A square is a rectangle with four congruent sides.
• All angles of a square are right angles.
• Diagonals of a square are congruent and bisect each other at right angles.

Let's consider an example to better understand these concepts. Suppose we have a rectangle with length 8 cm and width 6 cm. The opposite sides are congruent, and the diagonals will intersect and bisect each other.

Now, let's move on to squares. Suppose we have a square with side length 5 cm. All angles of this square are right angles, and the diagonals will intersect and bisect each other at right angles.

Studying rectangles and squares helps us understand the concepts of congruent sides, right angles, and the intersection of diagonals. These properties are essential in various mathematical fields such as geometry and physics.

Remember, practice is key to mastering the concepts of rectangles and squares. So, keep practicing and discovering amazing patterns in these shapes!