Lesson T4.2.2

T4.2.2 Ruler and compass constructions Quiz: KS3 Maths, Unit 4

20 questions

Written by Revision Ninja · Last reviewed 11 October 2026

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Lesson T4.2.2, Ruler and compass constructions: 20 multiple choice questions for the KS3 Maths (National Curriculum), Unit 4: Geometry and measures, written with Revision Ninja.

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The 20 questions

  1. Which construction step creates the perpendicular bisector of a line segment?

    • Arcs from one end
    • Drawing parallel lines
    • Measuring with a ruler
    • Arcs from both ends

  2. Which two tools are permitted for standard ruler and compass geometric constructions?

    • Ruler and compasses
    • Protractor and ruler
    • Compass and protractor
    • Set square and protractor

  3. What does a perpendicular bisector do to a line segment?

    • Parallels the segment
    • Bisects at 45 degrees
    • Doubles the length
    • Bisects at 90 degrees

  4. What is the initial step when bisecting an angle using compasses?

    • Bisecting the vertex
    • Drawing parallel lines
    • Measuring the angle
    • Arcs on both arms

  5. What is the perpendicular distance from a point to a line?

    • Longest distance
    • Average distance
    • Shortest distance
    • Diagonal distance

  6. At what angle does a constructed perpendicular meet a given line?

    • 90 degrees
    • 45 degrees
    • 180 degrees
    • 60 degrees

  7. Point P is 4 cm from a line, measured along the perpendicular. What is the perpendicular distance from P to the line?

    • 4 cm
    • 8 cm
    • 4.5 cm
    • 5 cm

  8. What minimum radius must compasses be set to when drawing a perpendicular bisector?

    • Less than half length
    • Equal to full length
    • More than half length
    • Exactly half length

  9. Why must compass width stay constant when bisecting a line segment?

    • To save drawing time
    • To fit the page
    • Equal distance from ends
    • To make lines thicker

  10. What must remain visible on a completed geometrical construction diagram?

    • Centre points
    • Construction arcs
    • Pencil guidelines
    • Measurement labels

  11. Where does the perpendicular bisector of a 10 cm line segment cross it?

    • 5 cm from each end
    • 3 cm from each end
    • 4 cm from each end
    • 2 cm from each end

  12. Which construction creates a 90 degree angle at a given point on a line?

    • Perpendicular at point
    • Angle bisector
    • Parallel line
    • Perpendicular bisector

  13. Which tool is needed to construct a triangle with sides 5 cm, 6 cm and 7 cm accurately?

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

  14. After bisecting an angle ABC of 80 degrees, what is the size of each of the two smaller angles?

    • 160 degrees
    • 80 degrees
    • 20 degrees
    • 40 degrees

  15. Angle ABC is 120 degrees and is bisected. What is each of the two equal parts?

    • 60 degrees
    • 240 degrees
    • 30 degrees
    • 120 degrees

  16. Line segment AB is 8 cm long. Its perpendicular bisector is drawn. How far is A from the point where the bisector crosses AB?

    • 4 cm
    • 2 cm
    • 16 cm
    • 8 cm

  17. A point is 3 cm from a line. A circle with centre at the point and radius 3 cm is drawn. How many points does the circle touch the line at?

    • Two points
    • No points
    • One point
    • Three points

  18. At what angle does a perpendicular bisector cross a line segment?

    • 180 degrees
    • 45 degrees
    • 90 degrees
    • 60 degrees

  19. A compass is used to draw a circle of radius 4 cm. What is its diameter?

    • 8 cm
    • 4 cm
    • 2 cm
    • 16 cm

  20. What does the bisector of an angle divide it into?

    • Three equal angles
    • Two equal angles
    • Half and double
    • Two right angles

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