# Notes

```Quadrilaterals
Name
Properties of Parallelograms
Date
I can …
Essential Question(s):
Key Concepts
Important Characteristics (2)
 Properties of Parallelograms
Notes
Special Parallelograms
Rhombus –
Rectangle –
Square –

How do I prove that
opposite sides are parallel?

How do I prove that
opposite sides are
congruent?

How do I determine if the
angle is a right angle?
Determining Types of
Note: When determining what
there are several key questions
that you need to consider…
Example 1.
The vertices of a quadrilateral are
A(2, 2), B(4, 6), C(8, 2), &amp; D(10, 6).
What type of quadrilateral is it?
Prove it!
Example 2
The vertices of a quadrilateral are
𝐸(4, 2), 𝐹(5, 5), 𝐺(1, 3), &amp; 𝐻(2, 6)
What type of quadrilateral is it?
Prove it!
Example 3
The vertices of a quadrilateral are
𝐽(1, 0), 𝐾(−3, 4), 𝐿(−2, −3),
𝑎𝑛𝑑 𝑀(−6, 1). What is this
Example 4
(−5, 0), B (−1, 4), C (−5, −6),
and D (7, 0)…
a) Find the midpoint of each
side labeling them E, F, G,
and H, respectively.
b) Connect the midpoints to
EFGH.
and explain why.
Opposite sides are parallel
Opposite sides are congruent
Opposite angles are congruent
Angle sum is 360&deg;
Both diagonals are congruent
Diagonals bisect each other
All four angles are right angles
Diagonals are perpendicular
Diagonals bisect each angle
All sides are congruent
Angles do NOT have to be right angles
Squares
Rectangles
Properties Chart
Parallelograms
What I Think I know before the Lesson:
Opposite sides are parallel
Opposite sides are congruent
Opposite angles are congruent
Angle sum is 360&deg;
Both diagonals are congruent
Diagonals bisect each other
All four angles are right angles
Diagonals are perpendicular
Diagonals bisect each angle
All sides are congruent
Angles do NOT have to be right angles
Squares
Rectangles
Properties Chart
Parallelograms