Geometry in Real Life

Name:

Date:

Geometric structures in architecture and engineering

🏗️ Part 1: Identifying Geometry in the Real World

1. Which geometric shape is most commonly used in bridge construction for strength and stability?

Square

Triangle

Pentagon

Circle

2. In architecture, domes are often circular because circles distribute weight ____________.

unevenly

evenly

only at corners

in straight lines

3. Which geometric concepts are commonly used in art? (Select all that apply)

Symmetry

Tessellation

Patterns

Parallel lines

4. Engineers use angles when designing ramps. A wheelchair ramp should have an angle of approximately _____ degrees to be safe and accessible.

45°

30°

5°

90°

📐 Part 2: Real-World Applications

5. Explain why triangles are important in construction and engineering. Give one specific example.

6. Look around your classroom or school. Identify three different geometric shapes you can see and explain their purpose.

Shape 1: _________________ Purpose: _________________________________

Shape 2: _________________ Purpose: _________________________________

Shape 3: _________________ Purpose: _________________________________

7. A circular pizza with a diameter of 30cm needs to be cut into 8 equal slices. What will be the angle of each slice?

8. Describe how symmetry is used in one of the following: Māori art, building design, or sports field layouts.

🎨 Part 3: Design Challenge (Extension Activity)

9. Design a simple bridge using only triangular supports. Draw your design in the box below and label the geometric shapes you used.

10. Advanced Challenge: If you were designing a new school logo that must include at least three different geometric shapes and demonstrate symmetry, describe your design concept.

11. Research Extension: Name one famous building or structure in New Zealand that demonstrates interesting geometric principles. What makes its geometry special?

Building/Structure: _________________________________________________