Math 8 · Unit 5: Angles and constructions · Cambridge Lower Secondary Maths Stage 8

Questions

1. 1. A perpendicular bisector cuts a line …

   • at 45°
   • anywhere
   • in half at right angles
   • in thirds
   Check

2. 2. The perpendicular bisector of a 10 cm line crosses it at …

   • 5 cm from each end
   • 3 cm from each end
   • 2 cm from one end
   • 10 cm
   Check

3. 3. An angle bisector splits an angle into …

   • a straight line
   • three angles
   • two equal angles
   • two right angles
   Check

4. 4. Bisect an angle of 70°. Each part is …

   • 70°
   • 140°
   • 35°
   • 20°
   Check

5. 5. Which tools are used for constructions?

   • ruler and compasses
   • calculator
   • set square only
   • protractor only
   Check

6. 6. When bisecting a line, the compasses must be set to …

   • more than half the line's length
   • any width
   • exactly half
   • less than half
   Check

7. 7. Every point on a perpendicular bisector of AB is …

   • on AB
   • the same distance from A and B
   • closer to A
   • twice as far from B
   Check

8. 8. Every point on an angle bisector is …

   • on the arms
   • the same distance from both arms
   • closer to one arm
   • at the vertex only
   Check

9. 9. To construct a 90° angle, you can …

   • bisect a 60° angle
   • construct a perpendicular bisector
   • use one arc
   • draw a circle
   Check

10. 10. To construct a 45° angle, you can …

    • double 90°
    • bisect a 60° angle
    • draw a triangle
    • bisect a 90° angle
    Check

11. 11. An equilateral triangle can be constructed with compasses set to …

    • any width
    • the length of one side
    • half the side
    • double the side
    Check

12. 12. Constructing an equilateral triangle gives angles of …

    • 60°
    • 45°
    • 90°
    • 30°
    Check

13. 13. Bisecting a 60° angle gives …

    • 15°
    • 60°
    • 30°
    • 120°
    Check

14. 14. Construction lines (arcs) should be …

    • left on the drawing
    • rubbed out
    • hidden
    • drawn in pen and removed
    Check

15. 15. The shortest distance from a point to a line is …

    • the perpendicular distance
    • along the line
    • a diagonal line
    • any line
    Check