USING QUADRILATERAL PROPERTIES
Properties of a parallelogram:
1. Opposite sides are parallel.
2. Opposite sides are congruent.
3. Opposite angles are congruent.
4. Consecutive angles are supplementary.
5. Diagonals bisect each other.
EXAMPLE 1
Complete each statement regarding the parallelogram below.
D
A
a) Name the parallelogram:__________
b) AB ________
c) DA ≅ ________
E
d) ∠ CDA ≅ ________
e) DE ≅ ________
C
B
EXAMPLES
For each parallelogram, find the values of ‘x’, ‘y’, and ‘z’.
2.
3.
4.
y°
x°
120°
z°
x°
y°
70°
35°
z°
y°
z°
80°
x°
30°
x = ________; y = ________;
x = ________; y = ________;
x = ________; y = ________;
z = ________
z = ________
z = ________