Understanding quadrilaterals

2. What is a quadrilateral?
It is a 4-sided polygon, which is made up
entirely of line segments.
Quadrilaterals can be divided into 5 types
i.e.., square, rectangle, rhombus, trapezium,
parallelogram.

4. Polygons with 4 sides
and 4 angles
1
2
3
4
1
2
3
4

5. Square
Parallelogram
Rectangle
Trapezoid
Rhombus
Hmmm. They are
different shapes,
yet they all have 4
sides…

6. A quadrilateral is a polygon with
four sides.
A quadrilateral is named by its
vertices.

7. It is a quadrilateral having all sides equal.
All the angles are 90 degrees.
The diagonals are equal and bisect each other
perpendicularly.
The angle-sum property is 360 degrees.

8. SQUARE
4 congruent sides
4 congruent
angles
( Square = opposite of cool.)

9. It is a 4-side polygon having opposite sides
equal.
Diagonals are equal and bisect each other
Angle-sum property is 360 degrees.
All the angles are 90 degrees.

10. In this polygon, only one pair of opposite
sides are equal.
Diagonals are unequal

11. TRAPEZOID
Only 1 pair of
parallel sides
The trapezoid is usually the
funkiest looking
quadrilateral.

12. It is a 4-sided polygon having opposites sides
of equal length.
Diagonals are equal and bisect each other.
Angle-sum property is 360 degrees.

13. PARALLELOGRAM
2 pairs of parallel sides
Opposite sides congruent
Opposite angles
congruent

14. It is a 4-sided polygon with all side equal.
Diagonals are equal and bisect each other
perpendicularly.
All sides are 90 degrees.
Angle-sum property is 360 degrees.

15. RHOMBUS
A parallelogram
with 4 congruent
(equal) sides

16. In figure A, the quadrilateral is named
PQRS or QRSP or RSPQ or SPQR.
The order of the vertices is important.
In figure B, the quadrilateral is named
MNOP.
In figure C, the quadrilateral is named
DEFG.
A B C
P
Q R
S
M
N
O
P
D E
FG

17. A
B
C
D

18. A
B
C
D

19. Two angles with a common side, like <A
and <D, are consecutive angles.
<A and <C, <B and <D on the other hand
are opposite angles.
A
B
C
D

20. A
D
B
C

21. Nonconvex
quadrilateral
MNOP, MO and NP
do not intersect.
T
Q
R
S
M
NO
P

22. MADE BY: KONDET YASHWANT