Prop of Parallelograms
DIRT
True or False? Why?
1. All squares are rectangles. _________________________________________________________
2. All rectangles are squares. _________________________________________________________
3. Every quadrilateral is a parallelogram. ________________________________________________
Label the following figures appropriately when given the following names: 5. Trapezoid
4. Square
6. Kite
7. Graph y= ­5x + 2.5
6.2 Properties of Parallelograms
Objectives: • To use relationships among sides and among angles of parallelograms
• To use relationships involving diagonals of parallelograms and transversals
Review........
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Prop of Parallelograms
Today the focus is PARALLELOGRAMS
5 Properties of all Parallelograms
1) Opposite sides are parallel
2) Opposite sides are congruent
3) Opposite angles are congruent
4) Diagonals bisect each other
5) One set of sides are parallel and
congruent
***Consecutive angles are supplementary.***
Examples: Given the following parallelograms, find x. (LABEL)
1) 2)
101
x
72
x
3)
4)
10
2x+7
2
Prop of Parallelograms
7x­4
5)
5x+6
6)
5a+10
120
4a­6
7)
2a+50
8)
20a+60
20a
9)
17a+69
3y
+6
0
+1
2y
0
1
6x­
8
+1
2x
10)
Any questions?????
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