2y - 5
DESCRIPTION
Class Opener 1/5/12 Use the properties of a kite to determine the value of each variable and each side length. 3x - 4. x. 2y - 5. Y + 1. Properties of a Parallelogram. Opposite sides of a parallelogram are congruent. Example. Find the value of x in PQRS. 3x - 15. R. Q. P. S. 2x + 3. - PowerPoint PPT PresentationTRANSCRIPT
Class Opener 1/5/12
Use the properties of a kite to determine the value of each variable and each side length
2y - 5 Y +
1
3x - 4
x
Properties of a Parallelogram
• Opposite sides of a parallelogram are congruent.
Example
• Find the value of x in PQRS
P S
RQ3x - 15
2x + 3
Properties of a Parallelogram
• Opposite angles of a parallelogram are congruent.
Angles inside a Parallelogram
• The angles inside any polygon that share a side are known as Consecutive Angles. A parallelogram has opposite sides parallel. Its consecutive angles are same side interior angles that add up to 180 degrees.
X
Y
X + Y = 180
Example
• Find the value of Y in the following parallelogram. Then find all the angle measures.
3y +37
6y + 4 ?
?
Properties of a Parallelogram
• The diagonals of a parallelogram bisect each other.
Example
• Find the value of A and B
AB + 10
2A – 8 B+2
Properties of Parallelograms
• If 3 or more parallel lines cut off congruent segments on one transversal, then they cut off congruent segments on every transversal.
Example
• In the figure to the right, DH CG BF and AE are parallel. AB = BC = CD = 2, and EF = 2.5. Find EH
D
C
B
A
2
2.52
2
E
H
G
F