Properties - geo

Properties of a parallelogram

Opposite sides are parallel and equal; opposite angles are equal; consecutive angles are supplementary; diagonals bisect each other.

Properties of a rectangle

All angles are 90°; opposite sides are equal; diagonals are equal and bisect each other; all parallelogram properties.

Properties of a rhombus

All sides are equal; diagonals bisect at 90°; diagonals bisect angles; all parallelogram properties.

Properties of a square

All sides are equal; all angles are 90°; diagonals are equal, bisect at 90°, and bisect angles; has properties of parallelogram, rectangle, and rhombus.

Is a square a rectangle?

True — A square has all rectangle properties.

Is a square a rhombus?

True — A square has all rhombus properties.

Is a rhombus a square?

False — Only true if it has 90° angles.

Is a rectangle a square?

False — Only true if all sides are equal.

Is a rhombus a parallelogram?

True — Rhombuses fit all parallelogram rules.

Is a rectangle a parallelogram?

True — Rectangles are a special kind of parallelogram.

Are all parallelograms rectangles?

False — Not all have 90° angles or equal diagonals.

Are all rectangles parallelograms?

True — Rectangles have all parallelogram properties.

Are the diagonals of a rhombus equal?

False — They intersect at 90°, but aren’t always equal.

Are the diagonals of a rectangle equal?

True — That’s a defining rectangle feature.

sqaure

parallelogram

rhombus

rectangle