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Quadrilateral types

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The power point explains the concept of quadrilaterals and its types.It covers square,rhombus,rectangle,parellalogram.

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Quadrilateral types

  1. 1. NEGATIVE EXAMPLES POSITIVE EXAMPLES
  2. 2. TYPES OF QUADRILATERALS
  3. 3. • 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.
  4. 4. RECTANGLE TRAPEZIUM PARALLELOGRAM SQUARE RHOMBUS
  5. 5. Side AB = Side BC =Side CD =Side AD <A = < B = <C = <D = 90°
  6. 6. A quadrilateral with all sides congruent and each angle a right angle is called a square.
  7. 7. l (AC) = l (BD) l (AO) = l (OC) , l (BO) = l (OD) m <AOD = m <DOC = m <BOC = m <BOA = 90°
  8. 8. <P = <Q = <R = <S = 90° Side PQ = Side SR , Side PS = Side QR
  9. 9. A quadrilateral with each angle a right angle and opposite sides congruent is called a rectangle.
  10. 10. Side PQ = Side SR , Side PS = Side QR Diagonal PR = Diagonal QS l (PO) = l (OR) , l (SO) = l (OQ)
  11. 11. Side PQ = Side QR = Side RS = Side PS
  12. 12. A quadrilateral having all sides congruent is called a rhombus.
  13. 13. 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
  14. 14. B D C Side AB // Side CD , Side AD // Side BC
  15. 15. A quadrilateral which has opposite sides parallel is called a parallelogram.
  16. 16. B Seg AB = Seg DC , Seg AD = Seg BC. l( AO) = l(CO) , l(BO) = l(DO) < A = < C , < B = <D. D C O
  17. 17. RECAPITULATION Sr. no. Quadrilaterals Properties of quadrilaterals 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 Square bisector of the other. 2) Rectangle 1) The opposite sides of a rectangle are congruent. 2) The diagonals of a rectangle are congruent. 3) The diagonals of a rectangle bisect each other.
  18. 18. Sr. no. Quadrilaterals CONTD… Properties of quadrilaterals 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
  19. 19. evaluation A) 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 the Lengths of sides AB, BC, CD ? 2) m<AOD = ? 3) IF l(BO) =2.5 , THEN l(BD) = ?

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