Untitled Flashcards Set

It's helpful to break down the properties of these quadrilaterals, as they are related. Here's a breakdown:

Parallelogram:

• Opposite sides are parallel: This is the defining characteristic.

• Opposite sides are congruent (equal in length).

• Opposite angles are congruent.

• Diagonals bisect each other (they cut each other in half).

• Adjacent angles are supplementary (they add up to 180 degrees).

Rectangle:

• A rectangle is a special type of parallelogram. Therefore, it has all the properties of a parallelogram.

• All four angles are right angles (90 degrees).

• Diagonals are congruent (equal in length).

Rhombus:

• A rhombus is also a special type of parallelogram, so it has all parallelogram properties.

• All four sides are congruent (equal in length).

• Diagonals bisect each other at right angles.

• Diagonals bisect the opposite angles.

Square:

• A square is a special type of parallelogram. It is also a special type of both a rectangle and a rhombus. Therefore, it has all the properties of parallelograms, rectangles, and rhombuses.

• All four sides are congruent.

• All four angles are right angles.

• Diagonals are congruent.

• Diagonals bisect each other at right angles.

• Diagonals bisect the opposite angles.