quadrilateral types
TRANSCRIPT
NEGATIVE EXAMPLES POSITIVE EXAMPLES
TYPES OF QUADRILATERALS
• The origin of the word “quadrilateral” is the two latin words
quadr i - a variant of four &
• latus – side
• A closed four sided figure is called a quadrilateral
• A quadrilateral is a polygon that has exactly four sides, exactly
four vertices & exactly four angles.
RECTANGLE
TRAPEZIUM
PARALLELOGRAM
SQUARE
RHOMBUS
Side AB = Side BC =Side CD =Side AD
<A = < B = <C = <D = 90°
A quadrilateral with all sides congruent and each angle a right angle is called a square.
l (AC) = l (BD)
l (AO) = l (OC) , l (BO) = l (OD)
m <AOD = m <DOC = m <BOC = m <BOA = 90°
<P = <Q = <R = <S = 90°
Side PQ = Side SR , Side PS = Side QR
A quadrilateral with each angle a right angle and opposite sides congruent is called a rectangle.
Side PQ = Side SR , Side PS = Side QR
Diagonal PR = Diagonal QS
l (PO) = l (OR) , l (SO) = l (OQ)
Side PQ = Side QR = Side RS = Side PS
A quadrilateral having all sides congruent is called a rhombus.
PROPERTIES OF A RHOMBUS
l (PO) = l (OR) , l (QO) = l (OS)
m <POS = m <SOR = m <ROQ = m <QOP = 90°
m <SPQ = m <SRQ , m <PSR = m <PQR
B
D
C
Side AB // Side CD , Side AD // Side BC
A quadrilateral which has opposite sides parallel is called a parallelogram.
Seg AB = Seg DC , Seg AD = Seg BC.
< A = < C , < B = <D.
l( AO) = l(CO) , l(BO) = l(DO)
B
D
C
O
Sr.no. Quadrilaterals
Properties of quadrilaterals
RECAPITULATION
1)
1) The diagonals of a square are congruent.
2) The diagonals of a square bisect each other.
3) Each diagonal of a square is the perpendicular
bisector of the other.Square
2)
Rectangle
2) The diagonals of a rectangle are congruent.
1) The opposite sides of a rectangle are congruent.
3) The diagonals of a rectangle bisect each other.
Sr.no. Quadrilaterals
Properties of quadrilaterals
CONTD…
3)
1) The diagonals of a rhombus bisect each other.
2) Each diagonal of a rhombus is the perpendicular
bisector of the other.
3) The opposite angles of a rhombus are equal.
4)1) The opposite sides of a parallelogram are congruent.
2) The opposite angles of a parallelogram are congruent.
3) The diagonals of a parallelogram bisect each other.Parallelogram
evaluationA) Define quadrilaterals?B) State the properties of a rectangle?C) State the properties of a rhombus?D) Look at the figure of the rhombus and answer the following
questions
A
B C
D
O
1) Length of side AD = 4cm. Then what are theLengths of sides AB, BC, CD ?
2) m<AOD = ?
3) IF l(BO) =2.5 , THEN l(BD) = ?