by: Adrian M. Mataac
Bayuin NHS
(Socorro, Oriental Mindoro)
QUADRILATERALS
 Is a polygon consists of four segments joining at their

endpoints
 PROPERTIES:
 with four sides
 with four angles
 with four vertices
 With one pair of diagonals
 The measure of all the interior angles is 360 degees.
QUADRILATERALS
 Regular quadrilateral

Convex quadrilateral

Square

Concave quadrilateral
QuadrilateraI is denoted by its vertices, written consecutively in
clockwise or counterclockwise direction
S
consecutive

A

opposite

vertices S and A

angles

M

E
SAME
EMAS

A and E

LS and LA

LA and
LE

sides

SA and AM

SA and
EM
Quadrilaterals
Quadrilateral
(Trapezium)

Parallelogram
Trapezoid
Rectangle

Rhombus
Isosceles
Trapezoid
Square

Kite
Types of Quadrilaterals
 Parallelogram: Quadrilateral with opposite sides

that are parallel and of equal length and opposite
angles are equal

Indicates equal sides
Types of Quadrilaterals
 Rectangle: Quadrilateral with two pairs of equal

sides and four right angles (90 degrees)

Indicates equal sides

Box indicates 900 angle
Types of Quadrilaterals
 Rhombus: Parallelogram with four equal sides and

opposite angles equal

Indicates equal sides
Types of Quadrilaterals
 Square: Quadrilateral with four equal sides and four

right angles
(90 degrees)
Indicates equal sides

Box indicates 900 angle
Types of Quadrilaterals
 Trapezoid: A quadrilateral with exactly one pair of

parallel sides

Parallel sides never meet.
Trapezoid
 Isosceles Trapezoid: Trapezoid with nonparallel sides

congruent
Kite
 Kite: A quadrilateral with two pairs of adjacent sides

congruent and no opposite sides congruent

Quadrilaterals (definition and classification)