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Geom5-6

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  • 1. Geom5­6.notebook December 01, 2011 BELL WORK: Please copy the picture and info for #15 on  p.246. Get started, and do as much as you can. Thank you! D C 2 E F 1 A B Questions on p.244 #1­7,11,12? 1
  • 2. Geom5­6.notebook December 01, 2011 Aftertodayslesson,youwillknow5waystoprove thataquadrilateralisaparallelogram! 5.6 on p.249: You can prove that a quadrilateral is a parallelogram in many ways! 1. If both pairs of opposite sides of a quadrilateral are parallel,  then the quadrilateral is a parallelogram (reverse of def.). 2
  • 3. Geom5­6.notebook December 01, 2011 2. If both pairs of opposite sides of a quadrilateral are congruent,  then the quadrilateral is a parallelogram (converse of prop.). 3. If one pair of opposite sides of a quadrilateral are both parallel and  congruent, then the quadrilateral is a parallelogram. 3
  • 4. Geom5­6.notebook December 01, 2011 4. If the diagonals of a quadrilateral bisect each other,  then the quadrilateral is a parallelogram (converse of prop.). 5. If both pair of opposite angles of a quadrilateral are congruent,  then the quadrilateral is a parallelogram (converse of prop.). 4
  • 5. Geom5­6.notebook December 01, 2011 These are outlined on p.249 if you ever need a reference!  Also, this section has 3 examples of proofs that use these. Take a look! The book is your friend. EXIT SLIP: Answer Always, Sometimes, or Never. A quadrilateral is a parallelogram if a) diagonals are congruent. b) one pair of opposite sides are congruent and one pair of  opposite sides are parallel. c) each pair of consecutive angles are supplementary. d) all angles are right angles. 5
  • 6. Geom5­6.notebook December 01, 2011 5.4­5.6 Quiz on Friday homework: p. 251 #1­5,7,8 due Friday 6