Lesson G2

G2 Ruler and compass constructions and loci Quiz: AQA Maths, Unit 4

20 questions

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Lesson G2, Ruler and compass constructions and loci: 20 multiple choice questions for the AQA GCSE Maths (8300), Unit 4: Geometry and measures, written with Revision Ninja.

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The 20 questions

  1. Which line cuts a given line segment exactly in half at a right angle?

    • Parallel line
    • Tangent line
    • Angle bisector
    • Perpendicular bisector
  2. What angle is constructed by drawing an equilateral triangle with ruler and compass?

    • 45 degrees
    • 90 degrees
    • 60 degrees
    • 30 degrees
  3. What is the shortest distance from a point to a straight line?

    • Horizontal distance
    • Perpendicular distance
    • Diagonal distance
    • Vertical distance
  4. What shape is formed by the locus of points exactly 3 cm from a fixed point?

    • A straight line
    • A pair of lines
    • A circle
    • A square
  5. What is the locus of points equidistant from two fixed points A and B?

    • Parallel line
    • Perpendicular bisector
    • Circle
    • Angle bisector
  6. What is the locus of points equidistant from two intersecting lines?

    • Circle
    • Perpendicular bisector
    • Parallel line
    • Angle bisector
  7. Which construction line divides an angle into two equal parts?

    • Tangent line
    • Perpendicular bisector
    • Angle bisector
    • Parallel line
  8. What shape forms the locus of points 2 cm from a straight line?

    • Two parallel lines
    • Perpendicular line
    • Single circle
    • Two intersecting lines
  9. To construct an equilateral triangle of side 5 cm, what arc radius is needed?

    • 2.5 cm
    • 5 cm
    • 15 cm
    • 10 cm
  10. Where are points located that are closer to point A than to point B?

    • Outside the bisector
    • Side containing B
    • On the bisector
    • Side containing A
  11. Which tool is used to mark a line segment of an exact length in a construction?

    • A ruler
    • A compass
    • A protractor
    • A set square
  12. Which tool is needed to draw arcs in constructions?

    • A compass
    • A set square
    • A ruler
    • A protractor
  13. What angle is obtained by bisecting a 60 degree angle?

    • 120 degrees
    • 45 degrees
    • 30 degrees
    • 15 degrees
  14. Two points A and B are 6 cm apart. What radius must the arcs have when constructing the perpendicular bisector?

    • Exactly 6 cm
    • Exactly 12 cm
    • Less than 3 cm
    • More than 3 cm
  15. What shape is the locus of points at a fixed distance around a straight line segment?

    • Rectangle
    • Ellipse
    • Pill shape
    • Circle
  16. What is the locus of points equidistant from two parallel lines?

    • A circle
    • Perpendicular bisector
    • Angle bisector
    • Parallel line midway
  17. Which tool is used to construct a circle of a given radius?

    • Set square
    • Compasses
    • Protractor
    • Ruler
  18. What angle is made when constructing a perpendicular line to another line?

    • 90°
    • 45°
    • 60°
    • 180°
  19. Points on the perpendicular bisector of a line segment are equidistant from where?

    • Parallel lines
    • The midpoint
    • The origin
    • Both endpoints
  20. To construct a perpendicular from P to line l, how many times does the arc cross l?

    • Three times
    • Twice
    • Once
    • Four times

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