Quadrilaterals

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This is for you my grade 7 class since im sick today, hope you can cope up

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Quadrilaterals

  1. 1. Mathematics Teachers Association of the Philippines Self Learning Kit : Grade 7 – Geometry QuadrilateralsObjectives Credits Review Discussion Activities Web Links Click the icons to navigate. Prepared by: Mr. Alvin Patrick Q. Peñaflorida VALENZUELA NATIONAL HIGH SCHOOL Division of City Schools - VALENZUELA
  2. 2. ObjectivesIllustrate, name and identify the different kinds of quadrilaterals Back Home Next
  3. 3. CreditsReference Books:1. E-Math III by Oronce and Mendoza, First Edition, 20072. The University of Chicago School Mathematics Project(GEOMETRY) by Usiskin et. al., second Edition, 1997Web:1. http://www.mathsisfun.com2. http://www.mathopenref.com3. http://www.animatedgif.net4. http://www.gifs-paradise.com5. http://classroomclipart.com Back Home Next
  4. 4. ReviewClick here tobegin Back Home Next
  5. 5. Which of the following figure is a polygon ? Click the figure that you think is a polygon. PointsClick here for hint!!! IIIClick here if you got 3 points Back Home Next
  6. 6. Very Good!This is a polygon since:a. It is a closed plane figure formed bythree or more line segments; b. each segments intersects exactly two others, one at each endpoint; c. and no two segments with a common endpoint are collinear. Back Home Next
  7. 7. Nice try…But this is not a polygon may bebecause:a. It is NOT a closed plane figure formedby three or more line segments;b. each segments DO NOT intersects exactly two others, one at each endpoint;c. or THERE ARE two segments with a common endpoint that are collinear. Back Home Next
  8. 8. Definition of POLYGONA Polygon:a. is a closed plane figure formed by threeor more line segments;b. each segments intersects exactly two others ,one at each endpoint;c. and no two segments with a common endpoint are collinear. Back Home Next
  9. 9. QUADRILATERALS “Four Sided Polygon” DiscussionThe figure below showscoplanar points A,B,Cand D such that no threepoints are collinear. B A C D Back Home Next
  10. 10. QUADRILATERALSThe four points A,B,Cand D are the vertices,which joined by foursegments. B A C D Back Home Next
  11. 11. QUADRILATERALSThe union of these foursegments is calledQUADRILATERAL. B A C D Back Home Next
  12. 12. NAMING QUADRILATERALSThe given QUADRILATERALcan be named by listing its Bvertices starting with any vertex Aand writing or reading the othervertices in either CLOCKWISEor COUNTERCLOCKWISE Cdirection D Click here Click here for CLOCKWISE for COUNTERCLOCKWISE ABCD ADCB Back Home Next
  13. 13. NAMING QUADRILATERALSHence, the quadrilateral below can be named as: B CLOCKWISE COUNTERCLOCKWISE A ABCD ADCB BCDA DCBA C CDAB CBAD D DABC BADC Back Home Next
  14. 14. “Hierarchy of Quadrilaterals” Trapezium Trapezoid Kite Parallelogram Isosceles TrapezoidBack Rhombus RectangleHome SquareNext Parallelogra Rectangle Trapezoi Isosceles Rhombus Trapeziu Square Kite
  15. 15. Trapezium T AMMTAP P A Quadrilateral with no parallel sides. Back Home Next
  16. 16. A M MATHTrapezoid T HA quadrilateral that has exactly onepair of opposite sides parallel. The sides that are parallel are called "bases". The other sides are "legs". Back Home Next
  17. 17. R CARE Kite E AA quadrilateral that: * has two pairs of sides. * each pair is adjacent sides (they meet) that are equal in C length. Also, the angles are equal where the pairs meet. Diagonals (dashed lines) meet at a right angle, andone of the diagonal bisects (cuts equally in half) theother. Back Home Next
  18. 18. C E Parallelogram I N NICEA quadrilateral where oppositesides are parallel. Also: * opposite sides are equal in length, *and opposite angles are equal Back Home Next
  19. 19. IsoscelesTrapezoid O L V E LOVEA quadrilateral which has a pair of oppositesides parallel.Also:*the sides that arent parallel are equal inlength*and both angles coming from a parallel side are equal Back Home Next
  20. 20. Rhombus T E R TRUE UA quadrilateral where all sides have equal length.Also :*opposite sides are parallel *opposite angles are equal*and the diagonals of a rhombus bisect each otherat right angles Back Home Next
  21. 21. Rectangle L E I F LIFEA quadrilateral where every angle is a rightangle (90°).Also:* opposite sides are parallel * and opposite sides have equal length. Back Home Next
  22. 22. F A Square R I FAIRA quadrilateral where all sides have equal length.Also:*every angle is a right angle (90°)*and opposite sides are parallel. Back Home Next
  23. 23. The Hierarchy of Quadrilaterals In the hierarchy of quadrilaterals shown in theabove figures, a quadrilateral below another on the familytree is a special case of the one above it. A rectangle, forexample, is a special case of a parallelogram. Thus, youcan say that a rectangle is a parallelogram but not that aparallelogram is a rectangle (a parallelogram is onlysometimes a rectangle).L E C EI F I N LIFE NICE Back Home Next
  24. 24. Click all Quadrilaterals in the set below. Activities Very Good! You’ve got all of the QUADRILATERALS in the set!!! Click here if you got 4 correct answer… Correct!Correct! Correct! Correct! Back Home Next
  25. 25. Practice! Which of the following label is a P R possible name for the quadrilateral on the right?Choose your answer by clickingthe letter of your choice. Y A A RYAP Sorry! Click here for HELP B PRAY Very Good! C AYRP Sorry! Click here for HELP D APRY Sorry! Click here for HELP Back Home Next
  26. 26. Practice makes PERFECT! Which of the following label is V NOT a possible name for the O quadrilateral on the right?Choose your answer by clickingthe letter of your choice. L EA VLOE Very Good!B LOVE Sorry! Click here for HELPC LEVO Sorry! Click here for HELPD VELO Sorry! Click here for HELP Back Home Next
  27. 27. One more? Which of the following quadrilateral below names LIKE? Choose your answer by clicking the letter of your choice. K L K A L I B I EBack E Sorry! Click here for HELP Sorry! Click here for HELP K K EHome C I D I LNext L E Sorry! Click here for HELP Very Good!
  28. 28. No Peeking! How many Quadrilaterals can you find in the following figure? Type your answer here 9 Click here to check your answer.Click here for the solution. Back Home Next
  29. 29. How many Quadrilateralscan you find in the following figure? Back Home Next
  30. 30. How far did you learn?Tell whether the statement is true or false by clicking youranswer. Good Luck…All squares are rectangles. True False Back Home
  31. 31. See this one.Tell whether the statement is true or false by clicking youranswer. Good Luck… Some rectangles are squares. True False Back Home
  32. 32. Keep going!Tell whether the statement is true or false by clicking youranswer. Good Luck…Some trapezoids are squares. True False Back Home
  33. 33. Your doing great!!!Tell whether the statement is true or false by clicking youranswer. Good Luck…All rhombuses are squares. True False Back Home
  34. 34. For Greatness and Beyond!!! Tell whether the statement is true or false by clicking your answer. Good Luck…Not all squares are rectangles. True False Back Home
  35. 35. Sorry! your answer is wrong… Analyze the figure below for L E help.. Rectangle I F LIFESquare F A R I FAIR Back Home
  36. 36. Sorry! your answer is wrong… Analyze the figure below for L E help.. Rectangle I F LIFESquare F A R I FAIR Back Home
  37. 37. Sorry! your answer is wrong… Analyze the figure below for help.. Trapezoid A M MATH T HSquare F A R I FAIR Back Home
  38. 38. Sorry! your answer is wrong… Analyze the figure below for help.. T E RRhombus TRUE U F ASquare R I FAIR Back Home
  39. 39. Sorry! your answer is wrong… Analyze the figure below for help.. F A Square R I FAIR L ERectangle I F LIFE Back Home
  40. 40. Very Good! You did a great job…..A square has four right angles. A rectangle also has four right angles. So a square is a rectangle. The statement is true. Home Next
  41. 41. Very Good! You did a great job…..A square has four right angles. A rectangle also has four right angles. So a square is a rectangle. The statement is true. Home Next
  42. 42. Very Good! You did a great job…..A square has two sets of parallel sides, but atrapezoid has only one set of parallel sides. Thestatement is false. Home Next
  43. 43. Very Good! You did a great job…..A rhombus has four congruent sides, but some mayor may not have right angles. The statement is false. Home Next
  44. 44. Very Good! You did a great job…..A square has four right angles. A rectangle also hasfour right angles. So a square is a rectangle. Thestatementis false. Home Next
  45. 45. Web Links Click the following interactive links on the web for more interesting activities.http://www.interactivestuff.org/match/maker.phtmhttp://teams.lacoe.edu/documentation/classroom Back Home Next
  46. 46. Great job pal…… See you soon… Prepared: Mr. Alvin Patrick Q. Peñaflorida Division of City Schools - ValenzuelaHome VALENZUELA NATIONAL HIGH SCHOOL

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