Quadrilaterals & their properties(anmol)
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Transcript of Quadrilaterals & their properties(anmol)
Made by:- Anmol PantClass:-9th C
Admn. No.-2789
TYPES OF QUADRILATERA
L AND ITS PROPERTIES
What are quadrilaterals & their angle sum property
Quadrilaterals are polygons
with four sides
The sum of the measures of the angles of a quadrilateral
is 360 degrees
NamesHere are
some of the basic types of Quadrilaterals
Kite
Rhombus
Trapezium
Parallelogram
RectangleSquare
2 pairs adjacent congruent sides
1 pair parallel sides2 pairs parallel
sides
4 right angles4 congruent sidesnon-parallel sides are congruent
Quadrilaterals
Parallelogram
Rectangle
Rhombus
Square
Isosceles Trapezoid
Trapezoid
Kite
Illustrations on the different types of Quadrilaterals to follow.
A trapezoid (Trapezium) is a quadrilateral with one pair of parallel sides.
Hi! I
am
a Tr
apez
ium
A rhombus is a type of parallelogram, and what distinguishes its shape is that all four of its sides are Congruent. There are several formulas for the rhombus that have been derived by the formulae for the parallelogram.
Hi! I
am a
Rho
mbu
s
A parallelogram is a four-sided plane rectilinear figure with opposite sides parallel.
Hi! I
am
a pa
ralle
log-
am
A rectangle is a parallelogram with four right angles. A rectangle is a parallelogram, its opposite sides must be congruent and it must satisfy all other properties of parallelograms .
Hi, I am a
Rectangle
Hi, I am a
Square
A square has the properties of a rhombus and a rectangle. Its sides intersect at 90° and all four sides are congruent.
Hi, I am
a Kite
A kite is a 4-sided flat shape with straight sides that:* has two pairs of sides.* each pair is adjacent sides (they meet) that are equal in length. Also, the angles are equal where the pairs meet. Diagonals (dashed lines) meet at a right angle, and one of the diagonal bisects (cuts equally in half) the other.
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.
The Properties of Quadrilaterals
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°
Sides
Trapezoid
Parallelogram
RectangleSquare
Rhombus
Trapezium
Sides
1 pair of parallel sides 2 pairs of
parallel sides and opposite sides equal.
2 pairs of parallel sides and opposite sides equal.
2 pairs of parallel sides
and all sides equal.
2 pairs of parallel sides
and all sides equal.
no pair of parallel sides
Angles
Trapezoid
Parallelogram
RectangleSquare
Rhombus
Kite
Angles
All angles are right angles
(90o)All angles are right angles
(90o)
Opposite angles are
equal.
Opposite angles are
equal.
One opposite pair of equal
angles
Diagonals
Parallelogram
RectangleSquare
Rhombus
Kite
Diagonals
Diagonals bisect
Diagonals equal
Diagonals bisect
at right angles
Diagonals bisect at right angles
Diagonals cross at
right angles
Trapezoid
All Three
Parallelogram
RectangleSquare
Rhombus
Kite
Sides, angles and
diagonals
Trapezoid
Trapezium 1
Isosceles TrapezoidGeneral Trapezoid
Right-angled TrapezoidRight-angled Trapezoid
Angles of Trapezoids
One pair of equal sides
and two pairs of equal angles.
Sum of the angles is 360
degrees
Trapezium 2
Isosceles TrapezoidGeneral Trapezoid
Right-angled TrapezoidRight-angled Trapezoid
Diagonals
Diagonals of equal length
General Trapezoid
Median of a Trapezoid
The MEDIAN of a trapezoid is the line segment that joins the
midpoints of the two non-parallel sides of the trapezoid.
The length of the MEDIAN a trapezoid is the line segment that
joins the midpoints of the two non-parallel sides of the
trapezoid.
• 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
PROPERTIES OF AN ISOSCELES TRAPEZIUM