Unit 7: Quadrilaterials

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Presentation transcript:

Unit 7: Quadrilaterials 6-1, 6-2 Classifying Quads, Properties of parallelograms

Agenda Review Definitions Properties of Parallelograms Class Work Homework

Warm-Up True or False: Every Square is also a rectangle. Every rectangle is also a square. Every isosceles trapezoid is also a trapezoid.

Quadrilateral: Polygon with 4 sides.

6-2 Properties of Parallelograms Defn: Parallelogram: both pair of opposite sides are

Properties of a 1. Opposite sides are

Same side interior angles 2. Consecutive <‘s are supplementary a+b = 180 b+d=180 a+c=180 c+d=180 Same side interior angles

3. Opposite <‘s are

4. Diagonals bisect each other

Ex: ABCD is a Parallelogram. What do we know about this figure?

1. AB = 5x+3, DC=4x+15. Find x

Ex 2: m<ADC = 68 Find 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

Ex. 5: m<AEB=108, Find m<BEC

Homework Worksheet