Part 1: Identify the Geometry

1. A design contains a square, a triangle, a straight line and a curved line. Write the names of the two shapes.

2. Which features could you identify in a geometric artwork? Select all that apply.

Shapes

Lines

Angles

Symmetry

3. What does repetition mean in a geometric design?

4. A pattern looks the same on both sides of a central line. What feature does this show?

Tessellation

Symmetry

Translation

Part 2: Apply and Explain

5. Match each transformation to its description.

Translation (slide)

Reflection (flip)

Rotation (turn)

The shape turns around a point.

The shape moves without flipping or turning.

The shape flips over a line.

6. You think an angle in an artwork is exactly 90°. Describe one tool or piece of evidence you could use to check.

7. A shape is rotated 90° clockwise. What will change, and what will stay the same?

8. Explain how a repeating unit could help create a tessellation. Use the words repeat and fit.

Part 3: Plan and Reflect

9. Plan two possible repeating units for a geometric artwork. Use shapes, lines, symmetry or transformations in your ideas.

10. Choose one repeating unit from Question 9. Draw or describe it, then explain three geometric features and one deliberate mathematical choice you made.

Brief Answer Guide

1. Square and triangle.

2. Shapes, lines, angles and symmetry.

3. Using the same element or design more than once.

4. Symmetry.

5. Translation = moves without flipping or turning; reflection = flips over a line; rotation = turns around a point.

6. Accept a suitable tool or evidence, such as checking with a right-angle tool or showing that the angle matches a known 90° corner.

7. The position and direction change; the shape and its size stay the same.

8. A repeating unit is repeated so the shapes fit together without unwanted gaps or overlaps.

9–10. Answers will vary. Look for two possible repeating units, one selected unit, three accurate geometric features and one explained mathematical choice.