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Junior Cycle Graphics: Bisectors & centre of a circle

How often Bisectors & centre of a circle comes up on the Graphics papers, every year it was asked, and questions to try.

CL Asked on 4 of the last 5 Common Level papers, most recently in 2026. most years

Bisectors & centre of a circle, Common Level(8 marks)

Quick ones on Bisectors & centre of a circle.

(a)When bisecting a line with a compass, the radius you use must be?
  1. Less than half the line
  2. More than half the line
  3. Exactly a quarter of it
(b)An angle of 70° is bisected. What size is each new angle?
  1. 20°
  2. 140°
  3. 35°
(c)How do you find the centre of a circle when only its outline is given?
  1. Bisect two chords; they cross at the centre
  2. Draw two tangents and join their ends
  3. Bisect one chord; its midpoint is the centre
Show the answers

(a) More than half the line

(b) 35°

(c) Bisect two chords; they cross at the centre

Your turn: Common Level questions on Bisectors & centre of a circle.

Common Level

Asked on 4 of the last 5 Common Level papers, most recently in 2026. most years

Every paper, year by year

YearWhere it came up
2026Q1d
2025Q1c, Q5e
2024Not asked
2023Q1c, Q1d
2022Q1b, Q1c

Links open the State Examinations Commission’s paper for that year.

More Bisectors & centre of a circle questions

Bisectors & centre of a circle, 3 marks

Every point on the bisector of an angle is?

  1. The same distance from the vertex
  2. At right angles to one arm
  3. The same distance from both arms
Show the answer

The same distance from both arms

Distances are measured at right angles to each arm. That is why the centre of a circle touching both arms of an angle lies on the angle's bisector.

Bisectors & centre of a circle, 3 marks

You bisect just one chord of a round tabletop. What does that bisector give you?

  1. The length of the radius
  2. A line through the centre
  3. The exact centre, at its midpoint
Show the answer

A line through the centre

One chord's bisector is a line through the centre, but the centre could be anywhere on it. A second chord's bisector crosses it to fix the exact point.

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