Triangles and Quadrilaterals Exploration

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Date:

📐 Part 1: Shape Identification

1. Which type of triangle has all three sides equal in length?

Scalene triangle

Isosceles triangle

Equilateral triangle

2. A quadrilateral with four equal sides and four right angles is called a:

Rectangle

Square

Rhombus

Parallelogram

3. Which properties apply to a rectangle? (Select all that apply)

Four right angles

Opposite sides are parallel

All sides are equal

Opposite sides are equal

4. An isosceles triangle has:

Three equal sides

Two equal sides

No equal sides

✏️ Part 2: Shape Properties and Classification

5. Complete the following sentences using the correct geometric terms:

a) A triangle with no equal sides is called a _________________ triangle.

b) A quadrilateral with one pair of parallel sides is called a _________________.

c) The te reo Māori word for triangle is _________________.

d) The te reo Māori word for quadrilateral is _________________.

6. Draw and label one example of each triangle type in the boxes below:

Equilateral Triangle

Isosceles Triangle

Scalene Triangle

7. Explain the difference between a rhombus and a square:

8. Look around your classroom or home. Name one real-life object that represents each shape:

Rectangle: _________________________________

Square: ___________________________________

Triangle: _________________________________

🔍 Part 3: Problem Solving

9. Sarah says "All squares are rectangles, but not all rectangles are squares." Is she correct? Explain your reasoning:

10. Create a Venn diagram in the space below to show the relationship between quadrilaterals, rectangles, and squares:

11. Challenge: If you know that a quadrilateral has four equal sides, what are the two possible shapes it could be? Explain how you would tell them apart:

Triangles and Quadrilaterals Exploration

Triangles and Quadrilaterals Exploration

📐 Part 1: Shape Identification

✏️ Part 2: Shape Properties and Classification

🔍 Part 3: Problem Solving

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