Quadrilateral Properties and Classifications

Diagonal Properties

• Diagonals of a rhombus intersect at right angles, making them perpendicular.
• Diagonals of a rectangle are not perpendicular to each other.

Angle Properties

• Opposite angles in a rhombus are equal, maintaining symmetry within the shape.

Quadrilateral Classification

• Not every quadrilateral qualifies as a parallelogram; this is a specific classification within quadrilaterals.

Relationship Between Shapes

• Every square is classified as a rhombus due to having all sides equal and diagonals that bisect each other at right angles.
• No parallelogram can be definitively labeled as a rhombus; rhombi are a subset of parallelograms.

Parallelogram and Rhombus Distinction

• Not every parallelogram is a rhombus; parallelograms can have unequal side lengths or angles.

Square Properties

• Every square is also a rectangle because it has four right angles and opposite sides that are equal.
• Every square is a type of parallelogram due to its definition of having opposite sides equal and angles that are congruent.