Math topic中文

Bisectors

properties and construction of perpendicular bisectors of line segments and angle bisectors

Practice questions

  1. 1In this scale drawing, A, B and C are three corners of a park ABCD with C due north of B. Construct the perpendicular bi…
  2. 2In the scale drawing, PQRS represents a plot of land, which is to be used for a park. Scale 1 cm to 0.5 km Find the actu…
  3. 3The diagram shows a line segment PQ. Construct the perpendicular bisector of PQ, showing your constructions clearly. Ans…
  4. 4The diagram shows a quadrilateral PQRS. construct the perpendicular bisector of SR such that it meets PQ at point Z. Mar…
  5. 5已知三个点A(0,0)A(0,0)，B(2,0)B(2,0)，C(4,2)C(4,2)，则△ABC\triangle ABC的外心的纵坐标是()(\quad) A. 32\dfrac{3}{2} B. 33 C. 52\dfrac{5}{2}…
  6. 6在联欢晚会上，有AA、BB、CC三名同学站在一个三角形的三个顶点位置上，他们在玩抢凳子游戏，要求在他们中间放一个木凳，谁先抢到凳子谁获胜，为使游戏公平，则凳子应放的最适当的位置在△ABC\triangle ABC的( )…
  7. 7The diagram shows a circle and a chord AB. B is due east of A. Locate and label a point C on the circle such that ∠ABC=110∘\angle ABC = 110^\circ…
  8. 8On the map, 3 MRT stations, Braddell (NS18), Caldecott (CC17) and Toa Payoh (NS19) are joined to form a triangle. constr…
  9. 9Construct triangle ABC where AC is 10 cm and angle BAC = 40°. AB has already been drawn. Construct the perpendicular bis…
  10. 10The diagram represents a plot of land, ABCD. The police is looking for a robber hiding in the land. Scale: 1 cm represen…
  11. 11The plan of a triangular-shaped garden, PQR, is such that QR=9.5 cmQR = 9.5\text{ cm} and ∠PQR=30∘\angle PQR = 30^\circ. PQ has been…
  12. 12The diagram below shows three points, A, B and C on flat ground. AB = 80 m, AC = 100 m and BC = 90 m. C is due east of A…
  13. 13In the diagram, OAPB is a sector of circle with centre O and radius 9 cm. Angle AOB = 1.4 radians. C is the centre of th…
  14. 14到△ABC\triangle ABC的三条边距离相等的点是△ABC\triangle ABC的()() A. 三条中线交点 B. 三条角平分线交点 C. 三条高的交点 D. 三条边的垂直平分线交点
  15. 15The diagram shows a quadrilateral WXYZ. Construct the perpendicular bisector of XY. Construct the bisector of angle WXY.…
  16. 16The diagram below shows a triangle ABC. Construct the perpendicular bisector of AC. Construct the bisector of angle BCA.
  17. 17In a scale drawing, Town W, X and Y are shown below. Town Z is 10 cm from Town W and 8 cm from Town Y. On the diagram, c…
  18. 18The diagram shows an accurate drawing of triangle ABC. By constructing appropriate lines on the diagram, mark the point…
  19. 19On the scale drawing, P, Q, R and S are the positions of four garden statues in a park. PQRS is a quadrilateral. Scale:…
  20. 20三角形中，到三边距离相等的点是().(\quad). A. 三条高线的交点 B. 三条中线的交点 C. 三条角平分线的交点 D. 以上都有不对
  21. 21P, Q and R are points such that ∠PQR = 75° and PR = 9 cm. The line PQ has been drawn for you. Using compass, protractor…
  22. 22The diagram shows the map of a park in the shape of a quadrilateral ABCD. The scale of the map is 1 cm to 10 m. Construc…
  23. 23ABCD is a parallelogram and triangle CDE is isosceles. E and F are points on AD and BC respectively. AB, EF and CD are p…
  24. 24已知线段AB及一点P，若PA=PB，则点P在 上．
  25. 25The diagram shows the map of a garden in the shape of a quadrilateral ABCD. The scale of the map is 1 cm to 10 m. Using…
  26. 26The diagram shows a triangle ABC. On the diagram, construct the bisector of angle ABC, construct the perpendicular bisec…
  27. 2726 X, Y, and Z are three points on a horizontal sea level map as shown below. X is due North of Y and Z is due east of Y…
  28. 28A regular m-sided polygon and a regular n-sided polygon are joined together. Part of the polygons are shown below. ∠BCD:∠DCG=5:3\angle BCD : \angle DCG = 5 : 3…
  29. 29判断题，填写“正确”或“错误”：角的平分线是角的对称轴．
  30. 30Refer to the diagram below. QR and QP have already been drawn. In the space below, construct a quadrilateral PQRS such t…
  31. 31The diagram shows a parallelogram ABCD. APQ, BRQ, CRS and DPS are straight lines which bisect angles A, B, C and D respe…
  32. 32The diagram represents a plot of land, EFGH, which is to be used for an observatory. Construct the bisector of the angle…