Lesson 5.10Page 317

Properties of Rhombuses, Rectangles, and Squares

What is a rhombus?• A rhombus is a parallelogram

with four congruent sides.• Is a square a rhombus?

YES• When is a rhombus not a

square?When the angles are not all 90⁰.

What is a rectangle?• A rectangle is a parallelogram

with four right angles.• Is a square a rectangle?

YES• When is a rectangle not a

square?When all sides are not congruent.

What if you combined the two?

RhombusRectangle

Square

Equiangular

Equi

later

al

Regular

Vocabulary:

A rectangle is a parallelogram with four right angles.

Another characteristic of a rectangle is it has congruent diagonals.

Other characteristics of a rhombus are:

Perpendicular diagonals

Diagonals bisect opposite angles

A rhombus is a parallelogram with four congruent sides.

A square is a parallelogram that has all of the same characteristics of a rectangle and a rhombus.

These characteristics are: 4 right angles 4 congruent sides congruent diagonals perpendicular diagonals diagonals that bisect opposite angles

Example:• For a rhombus ABCD, decide whether the

statement is always, sometimes, or never true.AB > BC

• A rhombus is a parallelogram with four congruent sides.

First make a drawing and label it.

A B

CD

So AB = BC and the statement is never true

Homework Assignment:

Page 319 # 1-27 odd

Parallelogram

RhombusRectangle

Square