We can summarize the properties of a parallelogram as follows.
Properties of a Parallelogram
1. Opposite sides are parallel.
2. Opposite sides are congruent.
3. Opposite angles are congruent.
4. Diagonals bisect each other.
5. Any two consecutive angles are supplementary.
Examples
1. Given:
MARK with
K
R
diagonals AK and MR
P
Complete each statement and write a
justification for each answer.
M
A
≅
a)
KP ________
___________________________________
b) KR
________
___________________________________
≅
c)
AP
________
___________________________________
≅
d)
KM
________
___________________________________
e) ∠ K + ∠ M =_______ °
______________________________
f) KM
_______
___________________________________
g) ∠ KMA ≅ ______
___________________________________