6‐2: Properties of Parallelograms Parallelogram: A quadrilateral

6‐2: Properties of Parallelograms
Parallelogram: A quadrilateral with both pairs of opposite sides parallel. Properties of all parallelograms
1. Opposite sides of a parallelogram are congruent.
2. Opposite angles of a parallelogram are congruent.
3. Diagonals of a parallelogram bisect each other.
True or False????
1. Every parallelogram is a quadrilateral.
2. Every quadrilateral is a parallelogram.
3. All Angle of a parallelogram are congruent.
4. All sides of a parallelogram are congruent.
5. In RSTU. RS TU.
6. In XWYZ, XY WZ.
Find the values of x, y, a and b in the parallelograms below.
6
R
S
9
b
17
R
12
S
9
a
b
U
a
T
U
T
Each igure is a parallelogram with its diagonals drawn. Find the value of x and y.
3y + 4
y
8
2
13 2x
+
x 4x
4
y +