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Basic Geometric Shapes

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Basic Geometric Shapes

Basic Geometric Shapes

Geometric shapes illustration

📐 Part 1: Identifying Shapes

1. Circle the correct name for each shape description:

A shape with 3 sides and 3 angles:

Triangle (Tapatoru)

Quadrilateral (Tapawhā)

Circle (Porohita)

A shape with 4 equal sides and 4 right angles:

Rectangle

Square (Tapawhā rite)

Parallelogram

A perfectly round shape with no corners:

Triangle

Trapezium

Circle (Porohita)

2. Check all the properties that describe a triangle:

Has 3 sides

Has 4 vertices

Has 3 angles

Interior angles sum to 180°

Interior angles sum to 360°

📏 Part 2: Angle Properties

3. Fill in the missing information about angle sums:

The sum of interior angles in a triangle is _______ degrees.

The sum of interior angles in a quadrilateral is _______ degrees.

A right angle measures _______ degrees.

4. Calculate the missing angle in this triangle:

If two angles in a triangle measure 60° and 45°, what is the third angle?

Answer: The third angle is _______ degrees.

5. Calculate the missing angle in this quadrilateral:

If three angles in a quadrilateral measure 90°, 120°, and 85°, what is the fourth angle?

Answer: The fourth angle is _______ degrees.

🎨 Part 3: Drawing and Classification

6. Draw the following shapes in the boxes below:

Draw an equilateral triangle:

Draw a rectangle:

Draw a circle:

7. Classify these triangles by their sides. Circle the correct type:

A triangle with all sides equal:

Equilateral

Isosceles

Scalene

A triangle with two sides equal:

Equilateral

Isosceles

Scalene

🏠 Part 4: Real-World Connections

8. Match each shape with where you might find it in real life:
1. Triangle
2. Rectangle
3. Circle
4. Square
A. Wheels on a car
B. Roof of a house
C. Window tiles
D. Door frame
9. Think about Māori art and patterns. Where might you see geometric shapes used?
10. Explain why understanding geometric shapes and their properties is important in everyday life:

🔍 Part 5: Shape Investigation

11. Check all the quadrilaterals from the list below:

Square

Triangle

Rectangle

Circle

Parallelogram

Trapezium

12. Complete this sentence about vertices:

A triangle has _______ vertices, a quadrilateral has _______ vertices, and a circle has _______ vertices.

13. Design your own shape pattern using triangles, quadrilaterals, and circles. Draw it below and describe what shapes you used:

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