1. Section 5.1 Properties of Parallelograms

2. Warm up FOUR SIDED FIGURES
QUADRILATERALS
Warm up
FOUR SIDED FIGURES

3. A parallelogram is a TYPE of quadrilateral

4. Definition of parallelogram
A quadrilateral with both pairs of opposite sides parallel.

5. Theorems about Parallelograms
5.1: Opposite sides of a parallelogram are congruent.
5.2: Opposite angles of a parallelogram are congruent.
5.3: Diagonals of a parallelogram bisect each other.

6. Find the missing values.
x = y = z = Not enuf info
35o
180 – 80 = 100o xo
80o
45o yo 7 c
ANGLES 12 a
LENGTHS b 8 zo 6 d
Note: Figure NOT Drawn to Scale.

7. Find the missing values. LENGTHS
2x + 5y = 30
2x + 2y = 18
3y = 12
y = 4
2x + 2(4) = 18
2x = 10
x = 5

8. Is it a parallelogram? SSIAs 112 + 78 = ? 112 + 78 = 190 190 ≠ 180
No it is not.
Note: Figure NOT Drawn to Scale.

9. Not enough information so it is not a parallelogram.
Is it a parallelogram?
1 pair of opp. sides are ||
Not enough information so it is not a parallelogram.
1 pair of opp. sides are ≅

10. Practice
Page 168
Classroom Exercises
#1 – 8,
Draw Diagrams for #3,4,5