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Subjects · Leaving Cert Design & Communication Graphics (DCG)

Leaving Cert Design & Communication Graphics (DCG): Plane figures & constructions

How often Plane figures & constructions comes up on the Design & Communication Graphics papers, every year it was asked, and questions to try.

OL Asked on 2 of the last 9 Ordinary Level papers, most recently in 2025.

Plane figures & constructions, Ordinary Level(8 marks)

Quick ones on Plane figures & constructions.

(a)What is each interior angle of a regular hexagon?
  1. 108 degrees
  2. 120 degrees
  3. 135 degrees
(b)A regular hexagon is inscribed in a circle of radius 40 mm. How long is each side?
  1. 80 mm
  2. 20 mm
  3. 40 mm
(c)The centre of a triangle's inscribed circle is where which lines meet?
  1. The angle bisectors
  2. The lines from each corner to the opposite midpoint
  3. The perpendicular bisectors of the sides
Show the answers

(a) 120 degrees

(b) 40 mm

(c) The angle bisectors

Your turn: Ordinary Level questions on Plane figures & constructions.

Ordinary Level

Asked on 2 of the last 9 Ordinary Level papers, most recently in 2025.

Every paper, year by year

YearWhere it came up
2025A3
2024Not asked
2023Not asked
2022Not asked
2021Not asked
2019Not asked
2018Not asked
2017A3
2016Not asked

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

More Plane figures & constructions questions

Plane figures & constructions, 3 marks

How do you erect a perpendicular at point P on a line?

  1. Draw a line from P at 60 degrees to the line
  2. Join P to the far end of the line, then bisect
  3. Mark equal distances either side of P, then bisect
Show the answer

Mark equal distances either side of P, then bisect

Mark two points equally spaced from P and draw equal arcs from each. The arcs cross on the line through P at 90 degrees.

Plane figures & constructions, 3 marks

How is a 60 degree angle constructed with compasses at point P on a line?

  1. Bisect a straight line twice, then join to P
  2. Arc from P; step the same radius from where it cuts
  3. Bisect a right angle drawn at P with compasses
Show the answer

Arc from P; step the same radius from where it cuts

The two radii and the stepped chord are equal, forming an equilateral triangle, and its angles are all 60 degrees.

Other Design & Communication Graphics (DCG) topics

All of Leaving Cert Design & Communication Graphics (DCG)