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Classifying Triangles and Pyramids

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Classifying Triangles and Pyramids

Classifying Triangles and Pyramids

Triangles and pyramids illustration

📐 Part 1: Triangle Classification by Sides

1. Circle the correct classification for each triangle based on its sides:

Triangle A: All three sides are equal (6cm each)

Equilateral (tapatoru rite)

Isosceles

Scalene

Triangle B: Two sides are 5cm, one side is 8cm

Equilateral

Isosceles

Scalene

Triangle C: Sides are 4cm, 7cm, and 9cm

Equilateral

Isosceles

Scalene

2. Draw and label one example of each type of triangle:

📏 Part 2: Triangle Classification by Angles

3. Match each angle description with the correct triangle type:
1. All angles less than 90°
2. One angle equals 90°
3. One angle greater than 90°
A. Right-angled triangle
B. Acute triangle
C. Obtuse triangle
4. Fill in the blanks using the words: acute, right-angled, obtuse

A triangle with one angle measuring exactly 90° is called a _____________ triangle.

A triangle where all angles are less than 90° is called an _____________ triangle.

A triangle with one angle greater than 90° is called an _____________ triangle.

🔺 Part 3: Pyramid Properties

5. Complete the table about pyramid properties:
Type of Pyramid: Square-based pyramid (pūramida)
Number of faces: _______
Number of edges (tātahi): _______
Number of vertices (pou): _______
Shape of base: _______
Shape of other faces (mata): _______
6. Check all the statements that are true about pyramids:

All pyramids have triangular faces

The base can be any polygon

All faces of a pyramid are triangles

A triangular pyramid has 4 faces

Pyramids always have a square base

📦 Part 4: Nets and 3D Visualisation

7. Draw the net of a triangular pyramid in the space below:
8. Which of these could be the net of a square pyramid?

One square with four triangles attached to each side

Five triangles joined together

Two squares and four triangles

One triangle with three squares attached

9. Explain how you would build a pyramid from its net:
Step 1: _________________________________
Step 2: _________________________________
Step 3: _________________________________

🧠 Part 5: Problem Solving and Te Reo Māori

10. Match the English geometric terms with their te reo Māori equivalents:
1. Triangle
2. Side
3. Angle
4. Face
5. Edge
A. mata
B. taha
C. tapatoru
D. tātahi
E. kokonga
11. Challenge: Describe a real-world object that has the shape of a pyramid. What type of pyramid is it?
12. If you were designing a pyramid with a hexagonal (6-sided) base, how many faces would it have in total? Show your working:

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