1. NEXT PAGE

2. ML RADIE M suobi ro n III-1 Kapitolyo High School Batch 2011-2012 NEXT PAGE

3. difference between the kinds of quadrilaterals. At the end of this lesson you must learn : how to define the quadrilaterals. must able to know the kinds of quadrilaterals. NEXT PAGE

5. Do you know the quadrilaterals? Yes.! Can you help me to my assignment about quadrilaterals? Of course..! I also know that..! NEXT PAGE

6. Quadrilaterals is a four-sided polygon. Rectangle, square, rhombus, trapezoid and parallelogram are the kinds of it. Ok, thank you, now I understand what is quadrilateral and I can answer in our class tomorrow. NEXT PAGE

7. The four segments formed by these points are called its sides.  is a four-sided polygon.  To illustrate a quadrilateral, four points are needed no three of which are collinear NEXT PAGE

8.  Quadrilateral is denoted by the symbol  The origin of the word quadrilateral is from the two Latin words quadri, a variant of four, and latus meaning "side." Four points are called the vertices Quadrilaterals NEXT PAGE

9. Example IC AM MI, IC, CA, and AM are the sides of MICA MIC, ICA, CAM, and AMI are the angles and could also be denoted as M, I, C and A Quadrilaterals NEXT PAGE

10. A quadrilateral is convex if no two of its vertices lie on the opposite sides of a line containing a side of the quadrilateral. Example Convex Quadrilaterals NEXT PAGE

11. Non Convex Quadrilaterals NEXT PAGE

12. Ma’am, a diagonal of a quadrilateral is a segment joining two nonconsecutive vertices. What is diagonal of a quadrilateral? You’re right..! Can you give an example in the blackboard. Ok Ma’am. Quadrilaterals NEXT PAGE

13. A B C D AC and BD are diagonals of ABCD. Diagonals of quadrilaterals divide the quadrilateral into two triangles. AC and BD are diagonals of ABCD. Diagonals of quadrilaterals divide the quadrilateral into two triangles. The sum of the measure of the angles of a quadrilateral is 360˚ Quadrilaterals NEXT PAGE

14. Parallelogram - a quadrilateral with two pairs of opposite sides which are parallel. NEXT PAGE

15. Rectangle - a parallelogram whose angles are all right angles. Square - a parallelogram whose sides and angles are all congruent. NEXT PAGE

16. Rhombus - a parallelogram whose sides are equal lengths and whose angles are oblique. An oblique angle is an acute or an obtuse angle. NEXT PAGE

17. The diagonals of a rectangle have equal lengths. NEXT PAGE

18. The diagonals of a rhombus are perpendicular to each other. The diagonals of a square are equal and perpendicular to each other. NEXT PAGE

19. Two sides (lines) are parallel if they lie on the same plane and do not met how far they are extended. The sides of a trapezoid that are parallel are its bases. NEXT PAGE

20. The non-parallel sides of trapezoid are its legs and the legs of an isosceles trapezoid are equal. The segment joining the midpoints of non-parallel sides is the median. NEXT PAGE

21. Any segment drawn from the upper base perpendicular to the lower base is its altitude. A BC D EF G ABCD is a trapezoid. AD and BC are the bases. AB and CD are its legs. EF is the median. CG is the altitude. NEXT PAGE

22. Trapezoid - a quadrilateral with one pair of opposite sides which are parallel. Scalene trapezoid or Trapezium - a scalene trapezoid is a trapezoid with no equal sides. NEXT PAGE

23. Right - angled Trapezoid - a right-angled trapezoid is a trapezoid with two right angles. Isosceles Trapezoid - a trapezoid with two non-parallel sides that are congruent. NEXT PAGE

24. c

25. Identify the quadrilateral in Column A and click the letter of the correct answer in column B. Each answer corresponds to a letter or a code of the magic word or answer. Find the Magic Word I can make copy of oneself, but I can neither a printer nor a camera. I portray right as left and left as right. Even if I am broken, I can make the same. What am I? NEXT PAGE

26. A A 1.Square 2.Rhombus 3.Rectangle 4. Parallelogram 5. Trapezoid 6. Right-angled Trapezoid B B i. r. o. m. r. 5 3 2 6 1 4

27. Using quadrilateral MACK, identify : M A K C 1.Two pairs of opposite angles 2.Two pairs of opposite sides 3.One pair of diagonals 4.Two pairs of opposite vertices 5.Four pairs of consecutive sides 6.Four pairs of consecutive angles NEXT PAGE

28. Please check the things you learn and understand after you read this lesson. I now understand : The definition of quadrilateral. The kinds of quadrilaterals. Identify the bases and legs of a trapezoid. Identify the median and altitude of a trapezoid. NEXT PAGE

29. Identify the diagonals of a quadrilateral. Identify the two non-parallel sides quadrilateral. Identify the kinds of parallelogram quadrilateral. Identify the kinds of trapezoid quadrilateral. NEXT PAGE

30. The activities have been : Easy Medium Difficult Now, I can do the activities : Alone With one companion to work with Within a group NEXT PAGE

32. Write All, Some, or No on the blanks to complete the sentences. 1._____ parallelograms are also quadrilaterals. 2._____ rhombus (rhombi) are squares. 3._____ rectangles are rhombuses (rhombi). 4._____ squares are rhombuses (rhombi). NEXT PAGE

33. 5. _____ parallelograms are also trapezoids. 6. _____ squares are parallelograms. 7. _____ trapezoids are quadrilaterals. 8. _____ trapezoids are isosceles. 9. _____ squares are rectangles. 10. _____ parallelograms are squares. NEXT PAGE

34. Using a circle with eight evenly spaced points around the edge, draw quadrilaterals you can found. There are eight quadrilaterals you need to find. NEXT PAGE

36. Answer for Activity Card # 1 M I R R O R 5 3 2 6 1 4 Answer for Activity Card # 2 1. A & K, M & C 2.AC & MK, AM & CK 3.AK & MC 4.A & K, M & C 5. MK & KC, KC & CA, CA & AM, AM & MK 6. K & C, C & A, A & M, M & K NEXT PAGE

37. 1.All 2.No 3.No 4.Some 5.No 6. Some 7. All 8. Some 9. All 10.Some NEXT PAGE

39. Books Geometry, Revised Edition (NPSBE) Dilao, Soledad J. et al, SD Publications, Inc. Quezon City, 2009 Politico, Jose, et al,Geometry III. 373 Quezon Avenue, Quezon City. BOOKMAN, INC. 2003 NEXT PAGE

40. Website http://en.wikipedia.org/wiki/Quadrilateral http://www.basic-mathematics.com/types-of- quadrilaterals.html

43. A A 1.Square 2.Rhombus 3.Rectangle 4. Parallelogram 5. Trapezoid 6. Right-angled Trapezoid B B i. r. o. m. r. 5 3 2 6 1 4 M I R O R

44. A A 1.Square 2.Rhombus 3.Rectangle 4. Parallelogram 5. Trapezoid 6. Right-angled Trapezoid B B i. r. o. m. r. 5 3 2 6 1 4 I R O

45. A A 1.Square 2.Rhombus 3.Rectangle 4. Parallelogram 5. Trapezoid 6. Right-angled Trapezoid B B i. r. o. m. r. 5 3 2 6 1 4 R O

46. A A 1.Square 2.Rhombus 3.Rectangle 4. Parallelogram 5. Trapezoid 6. Right-angled Trapezoid B B i. r. o. m. r. 5 3 2 6 1 4 M I R R O R NEXT PAGE

47. A A 1.Square 2.Rhombus 3.Rectangle 4. Parallelogram 5. Trapezoid 6. Right-angled Trapezoid B B i. r. o. m. r. 5 3 2 6 1 4 O

48. A A 1.Square 2.Rhombus 3.Rectangle 4. Parallelogram 5. Trapezoid 6. Right-angled Trapezoid B B i. r. o. m. r. 5 3 2 6 1 4 I R O R

49. Oops please try again. You don’t know the square….?

50. Oops please try again. A rhombus..!

51. Oops please try again. You don’t know the rectangle..!?

52. Oops please try again. A parallelogram..!

53. Oops please try again. A trapezoid…?

54. Oops please try again. You don’t know the right-angled trapezoid..!?