Math topic中文

Recognising triangles and quadrilaterals

Recognising triangles and quadrilaterals, and classifying triangles by their features.

Practice questions

  1. 1The net drawn for the solid shown below is incorrect. Name the solid. Ans: (a)___ Shade a triangular face on the net tha…
  2. 2In the figure below, ABCD is a trapezium and AD = BC. Each of the statements is either true, false or not possible to te…
  3. 3In 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…
  4. 4PQ and QR are two sides of a parallelogram. Complete the drawing of the parallelogram PQRS. QR also forms one side of an…
  5. 5The figure below is formed by five identical equilateral triangles. The total perimeter of the five triangles is 135 cm.…
  6. 6ACE and BDF are equilateral triangles. AF = FE and BC = CD. Find ∠y\angle y in the figure.
  7. 7In 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…
  8. 8In the figure, PQ = PS and SRP is a straight line. Find ∠RQS\angle\text{RQS}. Ans: ___ ∘^\circ
  9. 9已知在△ABC中，∠A=2∠C，∠B=3∠C，求各内角的度数，并判断△ABC的形状．
  10. 10ABC 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…
  11. 11In the figure below, A and B are two points on a map. Point A is north of B. Point C is east of B and ∠BAC=50∘\angle\text{BAC} = 50^\circ…
  12. 12WXYZ is a rhombus. Find ∠XYW\angle XYW.
  13. 13The figure below is not drawn to scale. ABE is an equilateral triangle and BCD is an isosceles triangle. ABC and BDF are…
  14. 14The figure shows a prism. Which of the following is not the net of the prism?
  15. 15四边形是由4条（ ）围成的． A. 线 B. 线段 C. 直线 D. 边
  16. 16In the figure below, EFG is an isosceles triangle. DEG is a straight line and EG=FGEG = FG. ∠DEF=111∘\angle DEF = 111^\circ and ∠HGE=63∘\angle HGE = 63^\circ…
  17. 17In the figure, ABC and DEF are right-angled triangles. The base of triangle DEF is twice as long as the base of triangle…
  18. 18In the figure, ABCD is a rectangle made up of four triangles. The ratio of the area of triangle ABF to that of the recta…
  19. 19有一个角是锐角的三角形是（ ） A. 可能是锐角三角形 B. 一定是锐角三角形 C. 是平行四边形
  20. 20已知三角形ABCABC中，∠A=60°∠A=60°，∠B=30°∠B=30°，∠C=∠C=___，三角形ABCABC是___三角形．
  21. 21平行四边形和梯形都很容易变形 ．
  22. 22DEFG is a rectangle. GHL and DHF are straight lines. Find ∠x\angle x.
  23. 23ABCD is a trapezium. ∠p=∠q\angle p = \angle q. Find the sum of ∠r\angle r and ∠s\angle s. Ans : _____________\…
  24. 24请举出两个能反映四边形的不稳定性的应用例子：，.
  25. 25In 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…
  26. 26The figure below shows a prism. Which one of the following is a net of the prism?
  27. 27若铺地面的瓷砖每一个顶点处都有六个相同的正多边形组成，则这种正多边形只能是（ ） A. 正三角形 B. 正方形 C. 正五边形 D. 正六边形
  28. 28In the figure, ABCD is a rhombus and AB = AE. Find ∠BAE\angle BAE. Find ∠ADE\angle ADE.
  29. 29AEF and CEF are isosceles triangles with AE = EF = CE. Find ∠AFB\angle\text{AFB}.
  30. 30若钝角三角形ABC中，∠A=27°，则下列何者不可能是∠B的度数？（ ） A. 37 B. 57 C. 77 D. 97
  31. 31已知一个三角形的11个内角是60°60°，这个三角形是()(\quad) A. 锐角三角形 B. 直角三角形 C. 钝角三角形 D. 不能确定
  32. 32The 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…
  33. 33The figure below is formed by a square ABCD, equilateral triangle ABE and triangles BDG and BEG. AFE and BFD are straigh…
  34. 34在不等边三角形中，最小的角可以是（ ） A. 80° B. 65° C. 60° D. 59°
  35. 35Find the area of triangle ABC shown below.
  36. 36The figure below is made up of a circle and a right-angled triangle XYZ. O is the centre of the circle. YOZ is a straigh…
  37. 37In 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…
  38. 38三角形、长方形和正方形都是轴对称图形． ___ .(.(判断对错))
  39. 39In the figure below, EFGH is a rhombus and FGJK is a trapezium. EH and KF are straight lines. ∠KLH=55∘\angle KLH = 55^\circ an…
  40. 40The figure shows a square ABCD. EH = EF = EG. Find ∠FGH\angle\text{FGH}. Answer : ___
  41. 41Sam had a trapezium ABCD and an equilateral triangle EFG. He folded the trapezium along the line DH to form a parallelog…
  42. 42The figure is made up of 2 identical triangles and 2 identical squares. The perimeter of the figure is (4q+36)(4q + 36) cm. T…
  43. 43In the figure below, ABCD is a trapezium. APB, DQC, RCS and PQR are straight lines. APB is parallel to DQC and AD is par…
  44. 44ABCD is a rectangle. AE and DG are straight lines. ∠ADF=∠FDE\angle ADF = \angle FDE. Find ∠FDE\angle FDE. Find ∠BGD\angle BGD. Find…
  45. 45EFGH 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.…
  46. 46The figure below shows an isosceles triangle XYZ, where XY = YZ. WY = 12 cm, YZ = 15 cm and XZ = 18 cm. Find the area of…
  47. 47Leon designed a logo as shown. The logo is made up of two identical small semi-circles, a circle and a big quadrant. YZ…
  48. 48A parallelogram WXYZ is drawn on a square grid. Using the line AB, draw a triangle ABC such that it has the same perimet…
  49. 49In 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…
  50. 50In the figure below, ABCD is a parallelogram. ECG is a straight line and BCE is an isosceles triangle. BC = CE and ∠BCG=100∘\angle BCG = 100^\circ…
  51. 51一个等腰三角形，它的顶角是两个底角的和．这个三角形又是___三角形．
  52. 52In the figure below, VWXY is a rhombus. XYZ is a straight line and ∠VWY=36∘\angle VWY = 36^\circ. Find ∠VYZ\angle VYZ.
  53. 53三角形按角分类分为 ， 和 ．
  54. 54In the figure below, ABCD is a rectangle. The points E and F lie on the rectangle ABCD. ∠DFE=105∘\angle DFE = 105^\circ, ∠EAC=32∘\angle EAC = 32^\circ…
  55. 55In the figure, KN and JL are straight lines. LPK is an equilateral triangle and JK // ML. The sum of ∠MJL\angle MJL and ∠LMJ\angle LMJ…
  56. 56如果三角形的三个内角的度数比是2:3:4,则它是( ) A. 锐角三角形 B. 钝角三角形 C. 直角三角形 D. 钝角或直角三角形
  57. 57一个三角形的内角度数之比为11：22：22，这个三角形是锐角三角形。 ___((判断对错))
  58. 58In the figure below, VWXY is a kite. WYZ is a straight line. ∠VWY=36∘\angle VWY = 36^\circ and ∠WVY=∠WXY=90∘\angle WVY = \angle WXY = 90^\circ…
  59. 59In the figure below, ABCG is a parallelogram and CDEF is a trapezium. EF = ED and BCD is a straight line. ∠AGC=113∘\angle AGC = 113^\circ…
  60. 60等边三角形的三个角都是60度，也是锐角三角形． ．