# 5-1 Properties of Parallelograms - PowerPoint PPT Presentation

1 / 9
Title:

## 5-1 Properties of Parallelograms

Description:

### 5-1 Properties of Parallelograms Ch. 5 Test: Fri Dec. 2 Parallelogram A quadrilateral where both pairs of opposite sides are parallel. Remember your properties for ... – PowerPoint PPT presentation

Number of Views:124
Avg rating:3.0/5.0
Slides: 10
Provided by: LosA138
Category:
Tags:
Transcript and Presenter's Notes

Title: 5-1 Properties of Parallelograms

1
5-1 Properties of Parallelograms
• Ch. 5 Test Fri Dec. 2

2
Parallelogram
• A quadrilateral where both pairs of opposite
sides are parallel.

3
Remember your properties for parallel lines
x
z
y
• x and y are SSI angles
• Therefore, x and y are supplements
• x y 180
• x and z are also SSI therefore also supplements
• x z 180
• So, y z
• Supps of the same angle are congruent.

4
Theorem
x
y
• Opposite angles of a parallelogram are congruent.
(x and Y are opposite angles)
• Opposite sides of a parallelogram are congruent.
• Diagonals of a parallelogram bisect each other.

5
Example
• Given BC 8, AB 15, EC 8, DB 18.
• DC
• AE
• AC
• BE
• DE

8
A
15
B
15
8
E
8
8
16
18
9
C
D
9
6
Example
• Given Angle ADC 82, Angle EDC 26
• Find angles
• ABC
• EBC
• BCD
• BEC

A
B
56
82
82
56
9
E
56
56
8
8
56
98
82
98
26
56
C
D
7
TOOon whiteboards
• If ABCD is a parallelogram, what is the length of
segment BD?
• A) 10
• B) 11
• C) 12
• D) 5

8
TOOon WBs
• Solve for x, y and z

12
130
10
x
y
z
9
Homework
• Pg. 169-170 1-12, 16 (4 steps), 19-23
• Flashcards
• Definition of Parallelogram
• 3 Theorems