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• 1. Mathematics Teachers Association of the Philippines Self Learning Kit : Grade 7 – Geometry Quadrilaterals Objectives 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. Objectives Illustrate, name and identify the different kinds of quadrilaterals Back Home Next
• 3. Credits Reference Books: 1. E-Math III by Oronce and Mendoza, First Edition, 2007 2. The University of Chicago School Mathematics Project (GEOMETRY) by Usiskin et. al., second Edition, 1997 Web: 1. http://www.mathsisfun.com 2. http://www.mathopenref.com 3. http://www.animatedgif.net 4. http://www.gifs-paradise.com 5. http://classroomclipart.com Back Home Next
• 5. Which of the following figure is a polygon ? Click the figure that you think is a polygon. Points Click here for hint!!! III Click here if you got 3 points Back Home Next
• 6. Very Good! This is a polygon since: a. It is a closed plane figure formed by three 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. Nice try… But this is not a polygon may be because: a. It is NOT a closed plane figure formed by 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. Definition of POLYGON A Polygon: a. is a closed plane figure formed by three 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
• 9. QUADRILATERALS “Four Sided Polygon” Discussion The figure below shows coplanar points A,B,C and D such that no three points are collinear. B A C D Back Home Next
• 10. QUADRILATERALS The four points A,B,C and D are the vertices, which joined by four segments. B A C D Back Home Next
• 11. QUADRILATERALS The union of these four segments is called QUADRILATERAL. B A C D Back Home Next
• 12. NAMING QUADRILATERALS The given QUADRILATERAL can be named by listing its B vertices starting with any vertex A and writing or reading the other vertices in either CLOCKWISE or COUNTERCLOCKWISE C direction D Click here Click here for CLOCKWISE for COUNTERCLOCKWISE ABCD ADCB Back Home Next
• 13. NAMING QUADRILATERALS Hence, 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. “Hierarchy of Quadrilaterals” Trapezium Trapezoid Kite Parallelogram Isosceles Trapezoid Back Rhombus Rectangle Home Square Next Parallelogra Rectangle Trapezoi Isosceles Rhombus Trapeziu Square Kite
• 15. Trapezium T A M MTAP P A Quadrilateral with no parallel sides. Back Home Next
• 16. A M MATH Trapezoid T H A quadrilateral that has exactly one pair of opposite sides parallel. The sides that are parallel are called "bases". The other sides are "legs". Back Home Next
• 17. R CARE Kite E A A 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, and one of the diagonal bisects (cuts equally in half) the other. Back Home Next
• 18. C E Parallelogram I N NICE A quadrilateral where opposite sides are parallel. Also: * opposite sides are equal in length, *and opposite angles are equal Back Home Next
• 19. IsoscelesTrapezoid O L V E LOVE A quadrilateral which has a pair of opposite sides parallel. Also: *the sides that aren't parallel are equal in length *and both angles coming from a parallel side are equal Back Home Next
• 20. Rhombus T E R TRUE U A quadrilateral where all sides have equal length. Also : *opposite sides are parallel  *opposite angles are equal *and the diagonals of a rhombus bisect each other at right angles Back Home Next
• 21. Rectangle L E I F LIFE A quadrilateral where every angle is a right angle (90°). Also: * opposite sides are parallel  * and opposite sides have equal length. Back Home Next
• 22. F A Square R I FAIR A quadrilateral where all sides have equal length. Also: *every angle is a right angle (90°) *and opposite sides are parallel. Back Home Next
• 23. The Hierarchy of Quadrilaterals In the hierarchy of quadrilaterals shown in the above figures, a quadrilateral below another on the family tree is a special case of the one above it. A rectangle, for example, is a special case of a parallelogram. Thus, you can say that a rectangle is a parallelogram but not that a parallelogram is a rectangle (a parallelogram is only sometimes a rectangle). L E C E I F I N LIFE NICE Back Home Next
• 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. Practice! Which of the following label is a P R possible name for the quadrilateral on the right? Choose your answer by clicking the 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. 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 clicking the letter of your choice. L E A VLOE Very Good! B LOVE Sorry! Click here for HELP C LEVO Sorry! Click here for HELP D VELO Sorry! Click here for HELP Back Home Next
• 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 E Back E Sorry! Click here for HELP Sorry! Click here for HELP K K E Home C I D I L Next L E Sorry! Click here for HELP Very Good!
• 29. How many Quadrilaterals can you find in the following figure? Back Home Next
• 30. How far did you learn? Tell whether the statement is true or false by clicking your answer. Good Luck… All squares are rectangles. True False Back Home
• 31. See this one. Tell whether the statement is true or false by clicking your answer. Good Luck… Some rectangles are squares. True False Back Home
• 32. Keep going! Tell whether the statement is true or false by clicking your answer. Good Luck… Some trapezoids are squares. True False Back Home
• 33. Your doing great!!! Tell whether the statement is true or false by clicking your answer. Good Luck… All rhombuses are squares. True False Back Home
• 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. Sorry! your answer is wrong… Analyze the figure below for L E help.. Rectangle I F LIFE Square F A R I FAIR Back Home
• 36. Sorry! your answer is wrong… Analyze the figure below for L E help.. Rectangle I F LIFE Square F A R I FAIR Back Home
• 37. Sorry! your answer is wrong… Analyze the figure below for help.. Trapezoid A M MATH T H Square F A R I FAIR Back Home
• 38. Sorry! your answer is wrong… Analyze the figure below for help.. T E R Rhombus TRUE U F A Square R I FAIR Back Home
• 39. Sorry! your answer is wrong… Analyze the figure below for help.. F A Square R I FAIR L E Rectangle I F LIFE Back Home
• 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. 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. Very Good! You did a great job….. A square has two sets of parallel sides, but a trapezoid has only one set of parallel sides. The statement is false. Home Next
• 43. Very Good! You did a great job….. A rhombus has four congruent sides, but some may or may not have right angles. The statement is false. Home Next
• 44. 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 false. Home Next
• 45. Web Links Click the following interactive links on the web for more interesting activities. http://www.interactivestuff.org/match/maker.phtm http://teams.lacoe.edu/documentation/classroom Back Home Next
• 46. Great job pal…… See you soon… Prepared: Mr. Alvin Patrick Q. Peñaflorida Division of City Schools - Valenzuela Home VALENZUELA NATIONAL HIGH SCHOOL
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