1. GEOMETRY:
QUADRILATERALS

2. QUADRILATERALS
 A quadrilateral is a four-sided
polygon with four angles.
 Any four-sided shape is a
Quadrilateral.
 But the sides have to
be straight, and it has to be
2-dimensional.
 Quadrilateral just means "four sides"
(quad means four, lateral means side).

3. Properties of Quadrilaterals
Properties:
 Four sides (or edges)
 Four vertices (or
corners).
 The interior angles
add up to 360 degrees:

4. Types of Quadrilaterals
There are special types of quadrilateral:
 Some types are also included in the definition of other
types! For example a square, rhombus and rectangle are
also parallelograms.

5. Types of Quadrilaterals
RECTANGLE
means "right angle"
and show equal sides
A rectangle is a four-sided shape where every angle is a right angle (90°).
 Opposite sides are parallel and congruent .
 The diagonals bisect each other.
 The diagonals are congruent.

6. RHOMBUS
A rhombus is a four-sided shape where all sides have equal length.
 Also opposite sides are parallel and opposite angles are equal.
 Another interesting thing is that the diagonals (dashed lines in
second figure) of a rhombus bisect each other at right angles.

7. SQUARE
means "right angle"
show equal sides
A square has equal sides and every angle is a right angle (90°)
A square can be thought of as a special case of other quadrilaterals, for
example:
 a rectangle but with adjacent sides equal
 a parallelogram but with adjacent sides equal and the angles all 90°
 a rhombus but with angles all 90°

8. PARALLELOGRAM
A parallelogram is a quadrilateral with
opposite sides parallel. Also opposite
angles are equal (angles "a" are the
same, and angles "b" are the same).
It is the "parent" of some other
quadrilaterals, which are obtained by
adding restrictions of various kinds:
 A rectangle is a parallelogram but with all four interior angles
fixed at 90°.
 A rhombus is a parallelogram but with all sides equal in
length.
 A square is a parallelogram but with all sides equal in length
and all angles fixed at 90°.

9. TRAPEZOID
A trapezoid is quadrilateral which
has at least one pair of parallel
sides
It is called an Isosceles trapezoid
if the sides that aren't parallel are
equal in length and both angles
coming from a parallel side are
Trapezoid Isosceles Trapezoid equal
British USA
A quadrilateral with
A quadrilateral with no
Trapezoid one pair of parallel
sides parallel
sides
A quadrilateral with
A quadrilateral with no
Trapezium one pair of parallel
sides parallel
sides

10. KITE
A kite is a quadrilateral whose four
sides can be grouped into two pairs
of equal-length sides that are
adjacent to each other.
Kite quadrilaterals are named for
the wind-blown, flying kites, which
often have this shape
 Two pairs of adjacent sides of a kite are equal in length
 One pair of opposite angles (the ones that are between the
sides of unequal length) are equal in size.
 One diagonal bisects the other.
 Diagonals intersect at right angles.

11. QUADRILATERALS

12. QUADRILATERALS
References:
http://www.mathsisfun.com/quadrilaterals.html
http://www.math.com/school/subject3/lessons/S3U2L3DP.html
http://www.mathsteacher.com.au/year7/ch09_polygons/04_quad/quad.htm
http://www.mathopenref.com/rectangle.html

13. God Bless!
“Hope is the only
thing stronger than
fear.”
-President Snow-
(The Hunger Games)
Created by: Jayson S. Gomez BSED 3A