2. LEARNING OBJECTIVES
• To understand the
difference between the
types of quadrilaterals.
• To understand the
properties of the types of
3. TYPES OF QUADRILATERALS
• In this presentation we are going to learn
some special quadrilaterals:
• Rectangle
• Rhombus
• Kite
• Arrowhead
• Isosceles trapezium
4.
5. WHAT IS AIS A QUADRILATERAL??
WHAT QUADRILATERAL
• The word “quadrilateral” comes from
two Latin words “quadri” which means ‘a
variant of four’ and “lateral” which means
side.
• Any four-sided shape is a quadrilateral.
• A quadrilateral is a closed figure with four
angles, four sides and four vertices
6. 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 the quadrilateral is 360°
7. RECTANGLE
The rectangle, like the square, is one of the most
commonly known quadrilaterals. It is defined
as having all four interior angles 90° (right
angles).
• It is a polygon with four sides, four vertices
and four equal angles.
8. • Opposite sides are parallel and congruent
• The diagonals bisect each other
• The diagonals are congruent
D C
A B
9. RHOMBUS
• Rhombus is a 4-sided flat shape with straight
sides where all sides have equal length.
• It is a type of parallelogram.
10. • A rhombus has all sides equal, while a rectangle has all
angles equal.
• A rhombus has alternate angles equal, while a
rectangle has alternate sides equal.
• A rhombus has an inscribed circle, while a rectangle
has a circumcircle.
• A rhombus has an axis of symmetry through each pair
of opposite vertex angles, while a rectangle has an axis
of symmetry through each pair of opposite sides.
• The diagonals of a rhombus intersect at equal
angles, while the diagonals of a rectangle are equal in
length.
11. KITE
• A quadrilateral whose four sides can be grouped
into two pairs of equal-length sides that are
adjacent to each other is called a kite.
• A kite has 4 sides, 4 vertices and 4 angles.
12. • Two disjoint pairs of consecutive sides are
congruent by definition
• The diagonals are perpendicular.
• One diagonal (segment KM, the main
diagonal) is the perpendicular bisector of the
other diagonal (segment JL, the cross diagonal).
(The terms “main diagonal” and “cross diagonal”
are made up for this example.)
• The main diagonal bisects a pair of opposite
angles (angle K and angle M).
• The opposite angles at the endpoints of the
cross diagonal are congruent (angle J and angle
L).
Note: Disjoint means that the two pairs are totally separate.
13. An arrowhead is a type of
quadrilateral with one pair
of sides with equal length
• It is also called as a concave quadrilateral.
• One pair of sides with equal length.
• It has no parallel sides
14. 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.
15. • 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
