Properties - geo

What are the properties of a parallelogram? - Opposite sides are parallel and equal; opposite angles are equal; consecutive angles are supplementary; diagonals bisect each other.

What are the properties of a rectangle? - All angles are 90°; opposite sides are equal; diagonals are equal and bisect each other; all parallelogram properties.

What are the properties of a rhombus? - All sides are equal; diagonals bisect at 90°; diagonals bisect angles; all parallelogram properties.

What are the 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.

A square is a rectangle. - True — A square has all rectangle properties.

A square is a rhombus. - True — A square has all rhombus properties.

A rhombus is a square. - False — Only true if it has 90° angles.

A rectangle is a square. - False — Only true if all sides are equal.

A rhombus is a parallelogram. - True — Rhombuses fit all parallelogram rules.

A rectangle is a parallelogram. - True — Rectangles are a special kind of parallelogram.

All parallelograms are rectangles. - False — Not all have 90° angles or equal diagonals.

All rectangles are parallelograms. - True — Rectangles have all parallelogram properties.

Diagonals of a rhombus are equal. - False — They intersect at 90°, but aren’t always equal.

Diagonals of a rectangle are equal. - True — That’s a defining rectangle feature.