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Unit 7: Quadrilaterials6-1, 6-2 Classifying Quads, Properties of
parallelograms
Warm Up 4/16/13Be sure you have copied down the definitions
from your homework.If not, take this time to do so as we won’t have
time during class
Review your definitions
Unit 7 Essential QuestionsHow can I use the relationships of sides,
angles, and diagonals of parallelograms to solve problems?
How can I use properties of all quadrilaterals to solve problems?
Bonus QuestionSee website
Agenda1. Warm Up2. 6-1: Classifying Quadrilaterals3. 6-2: Properties of Parallelograms4. Classwork/Homework
Today’s ObjectiveStudents will be able to define and classify
special types of quadrilaterals.
Students will be able to use relationships among sides and angles of parallelograms
Students will be able to use relationships involving diagonals of parallelograms or transversals.
Quadrilateral: Polygon with 4 sides.
Name it going around it. EX: ABCD or BCDA
6-1: Classifying Quadrilaterals
AB
C
D
ParallelogramDefinition: A Parallelogram is a
quadrilateral with two pairs of parallel sides (Opposite sides are parallel)Symbol:
RhombusDefinition: A Rhombus is a parallelogram
with four congruent sides.
RectangleDefinition: A Rectangle is a parallelogram
with four right angles
SquareDefinition: A Square is a parallelogram with
four congruent sides and four right angles
KiteDefinition: A Kite is a quadrilateral with two
pairs of adjacent sides congruent and no opposite sides congruent
TrapezoidDefinition: A Trapezoid is a quadrilateral
with exactly one pair of parallel sides.
Isosceles TrapezoidDefinition: An Isosceles Trapezoid is a
trapezoid whose nonparallel opposite sides are congruent
6-2: Properties of Parallelograms
Review: A Parallelogram is a quadrilateral with two pairs of parallel sides (Opposite sides are parallel)Symbol:
Other Properties of a1. Opposite sides are
2. Opposite ∠ ‘s are
3. Consecutive ∠ ‘s are supplementary (Sum to 180)
a+b = 180b+d=180
a+c=180c+d=180
Same side interior angles
4. Diagonals bisect each other (cut in half)
Example 1: ABCD is a AB = 5x+3, DC=4x+15. Find x
Ex 2: m<ADC = 68Find m<DCB
Find m<CBA
Find m<BAD
Ex.3: AE=2x+5, EC=4x-9, Find AC
Ex. 4: DB=8x-4, EB=2x, Find DE
Homework Left side of page 2 of packet
For extra practice, attempt proofs on right side