lesson 5.10 page 317
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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
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