A rhombus is a type of parallelogram, and what distinguishes its

shape is that all four of its sides are Congruent. There are several

formulas for the rhombus that have been derived by the

formulae for the parallelogram.

A rectangle is a parallelogram with four right

angles. A rectangle is a parallelogram, its

opposite sides must be congruent and it must

satisfy all other properties of

parallelograms .

A square has the properties of a rhombus

and a rectangle. Its sides intersect at

90° and all four sides are congruent.

A kite is a 4-sided flat shape with straight sides that:

* has two pairs of sides.

* each pair is adjacent sides (they meet) that are equal in

length.

Also, the angles are equal where the pairs meet.

Diagonals (dashed lines) meet at a right angle, and one of

the diagonal bisects (cuts equally in half) the other.

ISOSCELES TRAPEZIUM

• An isosceles trapezoid is a

trapezoid where the legs have

equal length. It can also be

defined as a convex

quadrilateral with a line of

symmetry bisecting one pair of

opposite sides, making it

automatically a trapezoid.

PROPERTIES OF A QUADRILATERAL

• Interior Angle Sum Property:

According to this property, the

sum of the interior angles of the

quadrilateral is 360°

• Exterior Angle Sum Property:

According to this property, the

sum of the exterior angles of

Trapezi

um 1

Isosceles TrapezoidGeneral Trapezoid

Right-angled Trapezoid

Right-angled Trapezoid

Angles of

Trapezoids

One pair of

equal sides

and two pairs

of equal

angles.

Sum of the

angles is 360

degrees

General Trapezoid

Median of a

Trapezoid

The MEDIAN of a trapezoid is

the line segment that joins the

midpoints of the two non-parallel

sides of the trapezoid.

The length of the MEDIAN a

trapezoid is the line segment that

joins the midpoints of the two

non-parallel sides of the

trapezoid.

• Two opposite sides (the bases) are parallel.

• The two other sides (the legs) are of equal

length.

• The diagonals are also of equal length.

• The base angles of an isosceles trapezoid

are equal in measure