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GCSE/Mathematics/WJEC

G1Conventional terms and notations: points, lines, vertices, planes

Notes

Geometric terms and notation

WJEC awards independent B1 marks for correct labelling — even on Higher reasoning questions, a B-mark is often available simply for naming an angle correctly with three letters.

Core vocabulary

  • Point — a location, no size. Single capital letter, e.g. A.
  • Line — extends infinitely both ways. Notation: line AB, or lower-case ℓ.
  • Line segment — finite part between endpoints. Notation: AB.
  • Ray — starts at a point, extends infinitely in one direction.
  • Vertex (vertices) — corner where edges meet. A pentagon has 5 vertices.
  • Edge — line segment between two vertices.
  • Face — flat surface of a 3D solid.
  • Plane — flat 2D surface extending infinitely.
  • Parallel — never meet. Notation: AB ∥ CD or matching arrowheads on diagrams.
  • Perpendicular — meet at 90°. Notation: AB ⊥ CD or right-angle square.

Naming angles — three-letter notation

The middle letter is always the vertex. ∠ABC is the angle at vertex B, between rays BA and BC. ∠CBA is the same angle.

WJEC frequently writes single-letter angles as a^, x or labels them with arc marks. When asked to "name" an angle, always supply three letters unless the question gives a single-letter symbol.

Polygon and triangle naming

Triangle ABC has vertices listed in order — clockwise or anticlockwise around the perimeter. For congruence △ABC ≡ △PQR, A↔P, B↔Q, C↔R, so AB = PQ, BC = QR, AC = PR.

WJEC diagram conventions

  • Right-angle: small square in the corner.
  • Equal lengths: matching tick marks.
  • Equal angles: matching arc marks.
  • Parallel: matching arrowheads.
  • "Diagram not drawn to scale" — never measure with ruler/protractor; use given values.

Exam tip

When asked "give a reason", quote the exact rule in standard wording — "alternate angles are equal", "angles on a straight line sum to 180°". A correct number with no quoted reason loses the SC1/B1 communication mark on Higher reasoning items.

AI-generated · claude-opus-4-7 · v3-wjec-maths-leaves

Practice questions

Try each before peeking at the worked solution.

  1. Question 14 marks

    Identify and name geometric features

    WJEC Unit 1 (Non-calculator) — Foundation

    The diagram (not to scale) shows a kite ABCD with diagonal BD drawn. Lines AB = AD and CB = CD.

    (a) Write down two pairs of equal lengths. (2 marks)
    (b) Using three letters, name the angle at vertex C. (1 mark)
    (c) State the special name of the quadrilateral ABCD. (1 mark)

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    AI-generated · claude-opus-4-7 · v3-wjec-maths-leaves

  2. Question 24 marks

    Use parallel and perpendicular notation

    WJEC Unit 1 (Non-calculator) — Intermediate

    PQRS is a rectangle.

    (a) Using correct notation, write down two facts about the sides. (2 marks)
    (b) On a sketch, mark the parallel sides with arrowheads and the right angle at P with a square. (2 marks)

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    AI-generated · claude-opus-4-7 · v3-wjec-maths-leaves

  3. Question 34 marks

    Vertices, edges and faces of a 3D solid

    WJEC Unit 2 (Calculator) — Foundation

    A triangular prism has two triangular ends and three rectangular sides.

    (a) Write down the number of vertices. (1 mark)
    (b) Write down the number of edges. (1 mark)
    (c) Write down the number of faces. (1 mark)
    (d) Name a pair of parallel faces. (1 mark)

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    AI-generated · claude-opus-4-7 · v3-wjec-maths-leaves

Flashcards

G1 — Conventional terms and notations: points, lines, vertices, planes

7-card SR deck for WJEC GCSE Mathematics — Leaves Batch 1 topic G1

7 cards · spaced repetition (SM-2)