This document defines and describes properties of parallelograms. It states that a parallelogram is a quadrilateral with two pairs of parallel sides, and opposite sides are equal in length and opposite angles are equal. Key properties are that each diagonal bisects the parallelogram into two congruent triangles, opposite sides are equal, opposite angles are equal, and the diagonals bisect each other. It also describes three special types of parallelograms: rectangles have four right angles, rhombuses have four equal sides, and squares have four equal sides and four right angles.

1. Mathematics
Parallelograms
By
Hana & Jana

2. Definition of Parallelograms?
A parallelogram is a quadrilateral
with two pairs of parallel sides.
The opposite or facing sides of a
parallelogram are of equal length
and the opposite angles of a
parallelogram are of equal
measure.

3. Picture of Parallelogram
A B
D C
O

4. Properties of a
Parallelogram
Properties
Diagonals
Each
diagonal
divides into
two
congruent
triangles.
Sides
The opposite
sides of a
parallelogram
are equal.
Angles
The opposite
angles of a
parallelogram
are equal.
Bisection
The diagonals of
a parallelogram
bisect each
other.
A parallelogram is a
quadrilateral with both
pairs of opposite sides
parallel.

5. • If two adjacent sides equal in
length or its diagonals are
perpendicular
Rhombus
• If its angles are right and two
adjacent sides are equal in
length.
Square
• If one of its angles is rightRectangle

6. Special Quadrilaterals
Special Quadrilaterals Figure
Parallelogram
A parallelogram is a quadrilateral
with both pairs of opposite sides
parallel.
D C
Parallelogram ABCD
(AB||DC,
AD||BC)
Rectangle
A parallelogram in which all four
angles are right angles is a rectangle.
D C
Rectangle
ABCD
(AB=DC,
AD=BC)
Each int.
angle=90◦
Rhombus
A parallelogram whose all four sides
D C
Rhombus
A B
A B
A B

7. Thank You
•Have a nice
day.
Knowledge is Power