ParallelogramsSECTION 8.2

How can I recognize a parallelogram using the sides and angles?

How do I apply the properties of the diagonals of parallelograms?

PARALLELOGRAMS

Parallelogram – a quadrilateral with 2 sets of parallel sides

*Naming

PARALLELOGRAM

1. Opposite angles are congruent2. Opposite sides are congruent3. Consecutive interior angles are supplementary4. If 1 angle is right, then all angles are right

PROPERTIES (THEOREMS)

Theorem 8.7 – The diagonals of a parallelogram bisect each other

THEOREMS

Theorem 8.8 – Each diagonal of a parallelogram divides the parallelogram into two congruent triangles

THEOREMS

Fill in the blanks. Justify your answer.EXAMPLE

JKLM is a parallelogram. JK = 2b + 3 and JM = 3a. Find:

mMJKmJMLmJKLmKJLab

EXAMPLE

J K

LM

R

2b + 3

45

3a

21

70°30°

EXAMPLES

What are the coordinates of the intersection of the diagonals of parallelogram MNPR, with vertices M(–3, 0), N(–1, 3), P(5, 4), and R(3, 1)?

Worksheet

HOMEWORK

LESSON PLAN

Intro The first quadrilateral we will discuss is the parallelogram

Standards- 8.2 (Power) Supplies – slides, whiteboard, handouts,Timing - 1 day 1 review day and a quizEssential Questions- slide 2 Input – slides 3-6Guided Practice – slides 7-9 Independent Practice – Worksheet