Parallelograms have Properties
Click to view
What is a parallelogram?
A parallelogram is a quadrilateral
with both pairs of opposite sides
parallel.
Properties of Every
Parallelogram:




Both pairs of opposite sides are
congruent.
Both pairs of opposite angles are
congruent.
Consecutive adjacent angles are
supplementary.
Diagonals bisect each other.
“Special Parallelograms”



Rectangle
Rhombus
Square
Quadrilaterals
Parallelogram
Rectangle
Rhombus
Square
What is a rectangle?
A rectangle is a parallelogram with
four right angles.
What are the properties of a
rectangle?



All the properties of every
parallelogram. (What are these
properties?)
All four angles are right angles.
The diagonals are congruent.
What is a rhombus?
A rhombus is a parallelogram with
four congruent sides.
What are the properties of a
rhombus?



All the properties of every
parallelogram.
The diagonals are perpendicular.
Each diagonal bisects two angles of the
rhombus.
What is a square?
A square is a parallelogram with
four right angles and four
congruent sides.
What are the properties of a
square?




A square has all the properties of every
parallelogram.
A square has all the properties of a
rectangle.
A square has all the properties of a
rhombus.
A square is a parallelogram, a rectangle,
and a rhombus!
Summary Slide








What is a parallelogram?
Properties of Every Parallelogram:
What is a rectangle?
What are the properties of a rectangle?
What is a rhombus?
What are the properties of a rhombus?
What is a square?
What are the properties of a square?
Your turn:
1.
2.
Do: On your paper, list the properties
of a square.
Think: How can you use these
properties to determine the measures
of sides, angles, and diagonals of a
parallelogram? Be ready to share your
thoughts!
Home