6-1, 6-2 classifying quads, properties of parallelograms
TRANSCRIPT
![Page 1: 6-1, 6-2 Classifying Quads, Properties of parallelograms](https://reader035.vdocuments.site/reader035/viewer/2022062314/56649daf5503460f94a9d31d/html5/thumbnails/1.jpg)
Unit 7: Quadrilaterials6-1, 6-2 Classifying Quads, Properties of
parallelograms
![Page 2: 6-1, 6-2 Classifying Quads, Properties of parallelograms](https://reader035.vdocuments.site/reader035/viewer/2022062314/56649daf5503460f94a9d31d/html5/thumbnails/2.jpg)
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
![Page 3: 6-1, 6-2 Classifying Quads, Properties of parallelograms](https://reader035.vdocuments.site/reader035/viewer/2022062314/56649daf5503460f94a9d31d/html5/thumbnails/3.jpg)
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?
![Page 4: 6-1, 6-2 Classifying Quads, Properties of parallelograms](https://reader035.vdocuments.site/reader035/viewer/2022062314/56649daf5503460f94a9d31d/html5/thumbnails/4.jpg)
Bonus QuestionSee website
![Page 5: 6-1, 6-2 Classifying Quads, Properties of parallelograms](https://reader035.vdocuments.site/reader035/viewer/2022062314/56649daf5503460f94a9d31d/html5/thumbnails/5.jpg)
Agenda1. Warm Up2. 6-1: Classifying Quadrilaterals3. 6-2: Properties of Parallelograms4. Classwork/Homework
![Page 6: 6-1, 6-2 Classifying Quads, Properties of parallelograms](https://reader035.vdocuments.site/reader035/viewer/2022062314/56649daf5503460f94a9d31d/html5/thumbnails/6.jpg)
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.
![Page 7: 6-1, 6-2 Classifying Quads, Properties of parallelograms](https://reader035.vdocuments.site/reader035/viewer/2022062314/56649daf5503460f94a9d31d/html5/thumbnails/7.jpg)
Quadrilateral: Polygon with 4 sides.
Name it going around it. EX: ABCD or BCDA
6-1: Classifying Quadrilaterals
AB
C
D
![Page 8: 6-1, 6-2 Classifying Quads, Properties of parallelograms](https://reader035.vdocuments.site/reader035/viewer/2022062314/56649daf5503460f94a9d31d/html5/thumbnails/8.jpg)
ParallelogramDefinition: A Parallelogram is a
quadrilateral with two pairs of parallel sides (Opposite sides are parallel)Symbol:
![Page 9: 6-1, 6-2 Classifying Quads, Properties of parallelograms](https://reader035.vdocuments.site/reader035/viewer/2022062314/56649daf5503460f94a9d31d/html5/thumbnails/9.jpg)
RhombusDefinition: A Rhombus is a parallelogram
with four congruent sides.
![Page 10: 6-1, 6-2 Classifying Quads, Properties of parallelograms](https://reader035.vdocuments.site/reader035/viewer/2022062314/56649daf5503460f94a9d31d/html5/thumbnails/10.jpg)
RectangleDefinition: A Rectangle is a parallelogram
with four right angles
![Page 11: 6-1, 6-2 Classifying Quads, Properties of parallelograms](https://reader035.vdocuments.site/reader035/viewer/2022062314/56649daf5503460f94a9d31d/html5/thumbnails/11.jpg)
SquareDefinition: A Square is a parallelogram with
four congruent sides and four right angles
![Page 12: 6-1, 6-2 Classifying Quads, Properties of parallelograms](https://reader035.vdocuments.site/reader035/viewer/2022062314/56649daf5503460f94a9d31d/html5/thumbnails/12.jpg)
KiteDefinition: A Kite is a quadrilateral with two
pairs of adjacent sides congruent and no opposite sides congruent
![Page 13: 6-1, 6-2 Classifying Quads, Properties of parallelograms](https://reader035.vdocuments.site/reader035/viewer/2022062314/56649daf5503460f94a9d31d/html5/thumbnails/13.jpg)
TrapezoidDefinition: A Trapezoid is a quadrilateral
with exactly one pair of parallel sides.
![Page 14: 6-1, 6-2 Classifying Quads, Properties of parallelograms](https://reader035.vdocuments.site/reader035/viewer/2022062314/56649daf5503460f94a9d31d/html5/thumbnails/14.jpg)
Isosceles TrapezoidDefinition: An Isosceles Trapezoid is a
trapezoid whose nonparallel opposite sides are congruent
![Page 15: 6-1, 6-2 Classifying Quads, Properties of parallelograms](https://reader035.vdocuments.site/reader035/viewer/2022062314/56649daf5503460f94a9d31d/html5/thumbnails/15.jpg)
6-2: Properties of Parallelograms
Review: A Parallelogram is a quadrilateral with two pairs of parallel sides (Opposite sides are parallel)Symbol:
![Page 16: 6-1, 6-2 Classifying Quads, Properties of parallelograms](https://reader035.vdocuments.site/reader035/viewer/2022062314/56649daf5503460f94a9d31d/html5/thumbnails/16.jpg)
Other Properties of a1. Opposite sides are
![Page 17: 6-1, 6-2 Classifying Quads, Properties of parallelograms](https://reader035.vdocuments.site/reader035/viewer/2022062314/56649daf5503460f94a9d31d/html5/thumbnails/17.jpg)
2. Opposite ∠ ‘s are
![Page 18: 6-1, 6-2 Classifying Quads, Properties of parallelograms](https://reader035.vdocuments.site/reader035/viewer/2022062314/56649daf5503460f94a9d31d/html5/thumbnails/18.jpg)
3. Consecutive ∠ ‘s are supplementary (Sum to 180)
a+b = 180b+d=180
a+c=180c+d=180
Same side interior angles
![Page 19: 6-1, 6-2 Classifying Quads, Properties of parallelograms](https://reader035.vdocuments.site/reader035/viewer/2022062314/56649daf5503460f94a9d31d/html5/thumbnails/19.jpg)
4. Diagonals bisect each other (cut in half)
![Page 20: 6-1, 6-2 Classifying Quads, Properties of parallelograms](https://reader035.vdocuments.site/reader035/viewer/2022062314/56649daf5503460f94a9d31d/html5/thumbnails/20.jpg)
Example 1: ABCD is a AB = 5x+3, DC=4x+15. Find x
![Page 21: 6-1, 6-2 Classifying Quads, Properties of parallelograms](https://reader035.vdocuments.site/reader035/viewer/2022062314/56649daf5503460f94a9d31d/html5/thumbnails/21.jpg)
Ex 2: m<ADC = 68Find m<DCB
Find m<CBA
Find m<BAD
![Page 22: 6-1, 6-2 Classifying Quads, Properties of parallelograms](https://reader035.vdocuments.site/reader035/viewer/2022062314/56649daf5503460f94a9d31d/html5/thumbnails/22.jpg)
Ex.3: AE=2x+5, EC=4x-9, Find AC
![Page 23: 6-1, 6-2 Classifying Quads, Properties of parallelograms](https://reader035.vdocuments.site/reader035/viewer/2022062314/56649daf5503460f94a9d31d/html5/thumbnails/23.jpg)
Ex. 4: DB=8x-4, EB=2x, Find DE
![Page 24: 6-1, 6-2 Classifying Quads, Properties of parallelograms](https://reader035.vdocuments.site/reader035/viewer/2022062314/56649daf5503460f94a9d31d/html5/thumbnails/24.jpg)
Homework Left side of page 2 of packet
For extra practice, attempt proofs on right side