Math topic中文

Classifying quadrilaterals

classifying special quadrilaterals on the basis of their properties

Practice questions

  1. 1The figure below is made up of 2 squares, ABCD and DEFG. X is a point on GD and Y is a point on DE. BC = 7 cm, FE = 6 cm…
  2. 2The net drawn for the solid shown below is incorrect. Name the solid. Ans: (a)___ Shade a triangular face on the net tha…
  3. 3In the figure below, ABCD is a trapezium and AD = BC. Each of the statements is either true, false or not possible to te…
  4. 4In the figure, WXYZ is a trapezium and AXYB is a rhombus. XBC and XAZ are straight lines. WX // ZY, BC = BY, ∠XAB=82∘\angle XAB = 82^\circ…
  5. 5The figure below shows 12 identical squares. What is the least number of such squares that must be added to the figure s…
  6. 6It is given that ξ={x:x is polygon},\xi = \{x: x \text{ is polygon}\}, p={x:x is a parallelogram},p = \{x: x \text{ is a parallelogram}\}, q={x:x is a quadrilateral},q = \{x: x \text{ is a quadrilateral}\},…
  7. 7The figure is made up of 16 identical squares. There are 5 shaded squares in the figure. Shade 3 more squares to form a…
  8. 8In the figure below, ABGF and BCDG are rhombuses. ∠ABF=31∘\angle ABF = 31^\circ, ∠CBG=40∘\angle CBG = 40^\circ and EF is parallel to…
  9. 9A rectangular piece of paper was folded to form the figure as shown as below. Find the perimeter of the rectangular piec…
  10. 10Rectangle ACDF shown below is made up of a square and a rectangle. The perimeter of rectangle ACDF is (2y+15) cm(2y + 15)\text{ cm}…
  11. 11In the figure below, WPRT is a square. QWU and SWV are straight lines. ∠QWP=13∘\angle QWP = 13^\circ and ∠TWS=28∘\angle TWS = 28^\circ…
  12. 12In the figure below, ABCD is a square and CEFG is a rectangle. ∠GCD=203∘\angle\text{GCD} = 203^\circ. Find ∠BCE\angle\text{BCE}.…
  13. 13ABC is a triangle, BFC is a straight line and ∠DEF\angle DEF is a right angle. Find ∠BEF\angle BEF. Circle the words that de…
  14. 14The diagram below is only half a symmetrical figure. Complete the figure.
  15. 15In the figure below, PQRT and PRSU are rectangles. PQ = 8 cm, QR = 6 cm and PR = 10 cm. Find the length of RS. Ans: ___…
  16. 16The figure below is made up of a rectangle and a square. The ratio of the area of the rectangle to the area of the squar…
  17. 17The figure below is made up of a square and 4 semicircles. The perimeter of the figure is 20π20\pi cm. What is the perime…
  18. 18Each figure is made up of some identical squares. Which of the figure(s) has/have exactly 2 lines of symmetry?
  19. 19WXYZ is a rhombus. Find ∠XYW\angle XYW.
  20. 20In the figure, ABCD is a trapezium and BCEF is a square. ∠DCE=203∘\angle DCE = 203^\circ. Find ∠ABC\angle ABC. Ans: ___ ∘^\circ
  21. 21PQRS is a rectangle and STUV is a square. Find ∠PSU\angle\text{PSU}.
  22. 22Figure 1 is formed using four identical squares. The perimeter of Figure 1 is 80 cm. Another three identical squares wer…
  23. 23The figure shown is made up of rectangle ABCD, a circle with FG as the diameter, 2 identical small semi-circles with dia…
  24. 24Terry made a cube using cardboard. Terry then made 9 identical cardboard cubes to form solid P as shown below. (Top view…
  25. 25DEFG is a rectangle. GHL and DHF are straight lines. Find ∠x\angle x.
  26. 26The figure is made up of 3 identical rectangles. The perimeter of the figure is 60 cm. What is the area of 1 rectangle?…
  27. 27A wire 210 cm long was cut into 2 pieces and bent to form a rectangle and a square. The length of the rectangle is 48.5…
  28. 28The figure below is made up of 2 identical quadrants of radius 7 cm that overlapped each other. The shaded square has si…
  29. 29Which two figures below have the same area? (Take π=227\pi = \frac{22}{7})
  30. 30STUV is a trapezium. UVWX is a rhombus. Find ∠y\angle y. Ans: ___
  31. 31In the figure, ABDE is a trapezium and BCDE is a rhombus. AFD is a straight line. AE // BD, ∠ADB=21∘\angle\text{ADB} = 21^\circ…
  32. 32In the grid below, 2 sides of a trapezium PQRS have been drawn. Complete the drawing of trapezium PQRS where PQ is paral…
  33. 33Shanti cut a square piece of paper ABCD along the dotted lines shown in Figure 1 to get one small square of area 225 cm^…
  34. 34The figure shows a quarter circle ABC and a rectangle CDEF. The length of AC is 10 cm. The sum of the lengths of EF and…
  35. 35A semicircle was cut from a rectangle as shown below. The perimeter of the rectangle before it was cut was 56 cm. What i…
  36. 36In the figure, ABCD is a rhombus and AB = AE. Find ∠BAE\angle BAE. Find ∠ADE\angle ADE.
  37. 37A parallelogram ABCD is drawn on a square grid inside a box. By joining dots on the grid with straight lines, draw squar…
  38. 38In the figure below, ABCD is a square and CEFG is a rectangle. ∠GCD=203∘\angle GCD = 203^\circ. Find ∠BCE\angle BCE. Answer: ___
  39. 39Shade the least number of squares to form a symmetric figure with line AB as the line of symmetry.
  40. 40The figure below is not drawn to scale. ABEF is a parallelogram and BCDE is a trapezium. BE//CD, AB//FD and BC//AD. DF i…
  41. 41The figure below is formed by a square ABCD, equilateral triangle ABE and triangles BDG and BEG. AFE and BFD are straigh…
  42. 42In the figure below, ABCD is a rhombus. AE, FC and BFD are straight lines. Find ∠DAE\angle DAE.
  43. 43The figure below is made up of identical squares. Shade three more squares to form a symmetric figure with XY as the lin…
  44. 44Which of the following is a net of a cube?
  45. 45Which of the following solids has the greatest number of faces?
  46. 46The figure shows a cube. Which of the following is not a net of a cube?
  47. 47In the figure below, QRST is a rhombus. QVS is a straight line. ∠TUV=46∘\angle TUV = 46^\circ and ∠RQV=20∘\angle RQV = 20^\circ Find…
  48. 48The figure shows a square ABCD. EH = EF = EG. Find ∠FGH\angle\text{FGH}. Answer : ___
  49. 49In the figure below, WPRT is a square. QWU and SWV are straight lines. ∠QWP=13∘\angle QWP = 13^\circ and ∠SWT=28∘\angle SWT = 28^\circ…
  50. 50Given the line of symmetry line AB, shade 2 squares to complete the symmetric figure.
  51. 51Sam had a trapezium ABCD and an equilateral triangle EFG. He folded the trapezium along the line DH to form a parallelog…
  52. 52The figure is made up of 2 identical triangles and 2 identical squares. The perimeter of the figure is (4q+36)(4q + 36) cm. T…
  53. 53A piece of paper is folded and a symmetrical figure is cut out from it. Which one of following shows half of the symmetr…
  54. 54What is the smallest number of squares that must be shaded so that the line PQ becomes a line of symmetry?
  55. 55ABCD is a rectangle. AE and DG are straight lines. ∠ADF=∠FDE\angle ADF = \angle FDE. Find ∠FDE\angle FDE. Find ∠BGD\angle BGD. Find…
  56. 56Triangle QRT is drawn on a square grid. Using the lines PQ and QR, draw a parallelogram PQRS. What fraction of the area…
  57. 57EFGH is a square. FG = MG and EK = JK. FGL, EMG, EKL and EHJ are straight lines. ∠FEL\angle FEL is twice of ∠FLE\angle FLE.…
  58. 58Gardner stacked 13 unit cubes and glued them together to form the solid below. Draw the side view of the solid on the gr…
  59. 59The figure below is formed by joining five identical 34\frac{3}{4}-circle discs. Points A, B, C, D and E are centres of…
  60. 60In the figure below, ACEGACEG is a rectangle and ABJHABJH is a square. The area of the shaded rectangle JDEFJDEF is 36 cm236\text{ cm}^2…