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Transformations and Tessellations Worksheet

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Transformations and Tessellations Worksheet

Geometric shapes and patterns

📐 Part 1: Understanding Transformations

1. What transformation moves a shape to a new position without changing its size or orientation?

Reflection

Rotation

Translation

Enlargement

2. Which transformation creates a mirror image of a shape?

Translation

Reflection

Rotation

Tessellation

3. A shape is rotated 90° clockwise around a point. Which properties stay the same? (Check all that apply)

Size

Shape

Position

Area

4. Complete the sentence: When a triangle is translated 5 units right and 3 units up, its __________ changes but its __________ stays the same.

🔲 Part 2: Tessellations

5. What is a tessellation?

A single geometric shape

A pattern that covers a plane with no gaps or overlaps

A type of transformation

A reflected image

6. Which regular polygons can tessellate by themselves? (Check all that apply)

Triangles

Squares

Pentagons

Hexagons

7. Explain why regular pentagons cannot tessellate on their own.
8. Name one place where you might see tessellations in real life.

Example: ___________________________

✏️ Part 3: Drawing and Design

9. In the space below, draw a simple tessellation using squares. Show at least 6 squares in your pattern.
10. Design your own tessellation using triangles and hexagons together. Use the space below.
11. Describe the transformations you used to create your tessellation in question 10.

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