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Basic Geometry in Art

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Basic Geometry in Art

A community art festival needs a geometric mural. Use the designs and geometry clues below to analyse patterns, transformations and angles. Show working where useful.

Design studio: analyse the motifs

The mural is built from repeated motifs. Read each motif description, then answer the questions.

Motif A: an equilateral triangle, with each interior angle 60°.

Motif B: a rectangle measuring 6 cm by 3 cm. Its diagonal joins opposite corners.

Motif C: a regular hexagon with a line drawn from its centre to one vertex.

1.The mural team wants Motif A to have reflection symmetry. How many lines of symmetry does an equilateral triangle have?
2.A rectangular panel is 6 cm long and 3 cm wide. Calculate its perimeter and area. Include units.
3.Motif C is a regular hexagon. What is the angle at its centre between two neighbouring vertices? Explain using the full turn around a point.

Transform, repeat and refine

Use your geometry knowledge to plan how the motifs will travel across the mural.

4.A motif is moved 4 units right and 2 units up, with no turning or flipping. Which transformation is this?
  • Translation
  • Reflection
  • Rotation
  • Enlargement
5.A triangular motif is reflected in a vertical mirror line. Describe what changes and what stays the same.
6.The mural uses a rotation of 90° clockwise about the centre of a square tile. How many 90° clockwise turns make one full 360° rotation?
  • 2
  • 3
  • 4
  • 8
7.A tessellation covers a flat surface with repeated shapes without gaps or overlaps. Which shape below can tessellate on its own?
  • An equilateral triangle
  • A regular pentagon
  • A regular octagon
8.At a point where three identical regular hexagons meet, each interior angle is 120°. Find the total angle around the point and state whether there is a gap.
9.A four-sided mural tile has angles of 90°, 90° and 110°. Work out the missing interior angle.
10.Plan a small repeating mural strip using at least two different shapes. Draw one repeat unit, show how it repeats, and label one transformation and one angle in your design.

2 printable pages

  • Basic Geometry in Art, page 1 of 2: Design studio: analyse the motifs, Transform, repeat and refine

    Page 1

  • Basic Geometry in Art, page 2 of 2: 5. A triangular motif is reflected in a vertical mirror line. Describe what changes and…

    Page 2

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