Do Now: Back to Basics :-) Solve for x. Chapter 6 - Quadrilaterals Parallelograms, Rectangles, Squares, Rhombuses (Rhombi), and, Trapezoids.

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Presentation transcript:

Do Now: Back to Basics :-) Solve for x

Chapter 6 - Quadrilaterals Parallelograms, Rectangles, Squares, Rhombuses (Rhombi), and, Trapezoids

6-1 Parallelograms Objective: 1. Recognize and define a parallelogram. 2. Use properties of parallelograms

Quadrilateral: A polygon with four sides Examples: “Non”examples:

Diagonal: Line segment that connects two nonconsecutive vertices Examples:

Parallelogram: a quadrilateral whose opposite sides are parallel. A few terms: Opposite Sides: Opposite Angles: Consecutive Angles:

Property #1: opposite sides of a parallelogram are congruent

Property #2: opposite angles of a parallelogram are congruent

Property #3: All consecutive angles are supplementary

Property #4: The diagonals of a parallelogram bisect each other.

Ex. 1: Decide if the sketch is a parallelogram

Ex. 2: Fill in the blanks. ZORT is a parallelogram.

Ex. 3: Solve for the given variables.

Ex. 4: Solve for the given variables.

Homework WS 6-1A #1-21 Called 6.2A on Worksheet, but matches to 6-1 in text book.