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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.