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

3x 10 6x 3x 14

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.

S R

QP

PQRSA few terms:

Opposite Sides:

Opposite Angles:

Consecutive Angles:

Property #1: opposite sides of a parallelogram are congruent

S R

QP

Property #2: opposite angles of a parallelogram are congruent

S R

QP

Property #3: All consecutive angles are supplementary

S R

QP

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

S R

QP

Ex. 1: Decide if the sketch is a parallelogram

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

S

T R

OZ

1. OR || _____

2. ZO _____

3. ROZ _____

4. TS _____

5. ZRT _____

Ex. 3: Solve for the given variables.

(8z - 6)°

50°

4y - 5

23

6x - 9

39

Ex. 4: Solve for the given variables. (10y - 9)°

11z° (9x - 13)°

(7x + 3)°

Homework

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