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Year 7 Quadrilaterals Worksheet

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Year 7 Quadrilaterals Worksheet

Quadrilaterals illustration

📚 Part 1: Properties of Quadrilaterals

Remember: A quadrilateral is a polygon with 4 sides and 4 angles. The angles always add up to 360°.

1. Which of these shapes is NOT a quadrilateral?

Rectangle

Triangle

Parallelogram

Trapezium

2. A rectangle has:

4 equal sides and 4 right angles

2 pairs of parallel sides and 4 right angles

Only 2 parallel sides

No parallel sides

3. Which properties does a rhombus have? (Tick all that apply)

All sides are equal

All angles are 90°

Opposite sides are parallel

Diagonals bisect each other at right angles

4. A parallelogram has opposite angles that are:

Always 90°

Equal to each other

Always different

Add up to 180°

5. In a trapezium, how many pairs of parallel sides are there?

0

1

2

4

✏️ Part 2: Angle Calculations

Remember: The sum of interior angles in any quadrilateral = 360°

6. In a quadrilateral, three angles are 85°, 120°, and 75°. What is the fourth angle?

Answer: ___________°

7. A parallelogram has one angle of 110°. What are the other three angles?

Hint: Opposite angles are equal, and adjacent angles are supplementary (add to 180°)

The other three angles are: _____, _____, and _____

8. Explain why all angles in a rectangle are 90°.

🎯 Part 3: Classification and Problem Solving

9. Draw and label a quadrilateral that has:

• Exactly one pair of parallel sides
• Two right angles
• No equal sides

Name of this quadrilateral: ________________

10. Complete this statement: "A square is a special type of __________ because it has all the same properties plus _______________."
11. Sarah says "All rectangles are parallelograms, but not all parallelograms are rectangles." Is she correct? Explain your reasoning.
12. A rhombus has a perimeter of 24 cm. What is the length of each side? Show your working.

Length of each side: _______ cm

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