Transcript Quadrilaterals - CPS Innovation 3 2011

Done By;
Lim Ren Yong, Jewels
I-3
Quadrilaterals
Quadrilateral just
means "four
sides“(quad means
four, lateral means
side).
Any four-sided
shape is a
Quadrilateral.
But the sides have
to be straight, and
it has to be 2dimensional.
~Properties~
• Four sides (or edges)
• Four vertex (or corners).
• The interior angles add up to 360 degrees
• All angles should add up to 360 degrees
There are special types • Some types are
of quadrilateral:
also included in
the definition of
-Square
-Kite
other types. For
-Parallelogram
example a square,
-Rectangle
rhombus and
-Rhombus
rectangle are also
parallelograms
-Trapezium
Rectangles
-The square represents
the right angle
-The lines shows the equal
sides of the rectangle
• A rectangle is a
four-sided shape
where every
angle is a right
angle (90°).
• Also opposite
sides are parallel
and of equal
length.
• A Rhombus is a
four-sided shape
where all sides have • Another interesting
equal length.
thing is that the
• Also opposite sides
diagonals (dashed lines
are parallel and
in
second
figure)
of
a
opposite angles are
rhombus bisect each
equal.
other at right angles.
Square
-The small square
represents the right
angle
-The lines shows the
equal sides of the
rectangle
• A square has equal
sides and every angle
is a right angle (90°)
• Also opposite sides are
parallel.
• A square also fits the
definition of a
rectangle (all angles
are 90°), and a
rhombus (all sides are
equal length).
Parallelogram
NOTE: Squares, Rectangles and
Rhombuses are all Parallelograms!
• Opposite sides are
parallel and equal
in length, and
opposite angles
are equal (angles
"a" are the same,
and angles "b" are
the same)
Example;
A parallelogram
with:
-All sides equal
-Angles "a" and "b" as
right angles is a
square
-It is called an
Isosceles
trapezium if the
sides that aren't
parallel are
equal in length
and both angles
coming from a
parallel side are
equal, as shown.
• A trapezium
has one pair of
opposite sides
parallel.
• The small square
represents the right
angle
• The lines shows the
equal sides of the kite
The kite has two pairs of
sides. Each pair is made
up of sides that are
equal in length. The
angles are equal where
the pairs meet.
Diagonals (the dashed
lines) meet at a right
angle, and one of the
diagonal bisects (cuts
equally in half) the
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