PROPERTIES OF
PARALLELOGRAM
S
PREPARED BY
MARY JANE A. MERCADO
PARALLELOGRAM
It is a quadrilateral where both pairs
of opposite sides are parallel.
PROPERTIES OF
PARALLELOGRA
M
1.Opposite
sides are
congruent
𝐴𝐵 ≅ 𝐶𝐷
𝐴𝐷 ≅ 𝐵𝐶
PROPERTIES OF
PARALLELOGRA
M
2. Opposite
angles are
congruent
∠𝐵 ≅ ∠𝐷
∠𝐴 ≅ ∠𝐶
PROPERTIES OF
PARALLELOGRA
M
3. Consecutive
angles are
supplementary
∠𝐴 + ∠𝐷
∠𝐴 + ∠𝐵
∠𝐵 + ∠𝐶
∠𝐶 + ∠𝐷
=
=
=
=
180°
180°
180°
180°
PROPERTIES OF
PARALLELOGRA
M
4. The diagonals
of a parallelogram
bisect each other.
PROPERTIES OF
PARALLELOGRA
M
5. Each diagonal
of a parallelogram
separates it into
two
congruent
triangles.
Find the value of x and y.
𝑥 = 10
6
𝑦=6
10
Find the value of x and y.
𝑥+7
𝑦+9
3𝑦 + 5
2𝑥 − 2
Find the value of x and y.
𝐿
𝐸
𝑧
𝑥
60
𝑦
𝑉
𝑂
q