Geometry/Notes 8.2
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Transcript of Geometry/Notes 8.2
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