Properties of Quadrilaterals

Name: _______________________________
Date: _______________________________

Part A: True or False

Write T for true or F for false in the space provided.

1. _____ All squares are rectangles.
2. _____ All rectangles are squares.
3. _____ A rhombus has four equal sides.
4. _____ A parallelogram has two pairs of parallel sides.
5. _____ A trapezium has exactly one pair of parallel sides.
6. _____ The diagonals of a rectangle are always perpendicular.
7. _____ All angles in a square are 90°.
8. _____ A rhombus is a type of parallelogram.

Part B: Complete the Properties Table

Fill in the missing information about each quadrilateral.

Quadrilateral Number of pairs of parallel sides All sides equal? All angles equal?
Square ___________ ___________ ___________
Rectangle ___________ ___________ ___________
Parallelogram ___________ ___________ ___________
Rhombus ___________ ___________ ___________
Trapezium ___________ ___________ ___________

Part C: Short Answer

1. What is the difference between a square and a rhombus?

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2. Name two properties that a rectangle and a parallelogram have in common.

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3. Why is a square considered a special type of rectangle?

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Part D: Name the Quadrilateral

Based on the properties given, identify which quadrilateral is being described.

1. Four equal sides, opposite angles equal, diagonals bisect at right angles: ___________________
2. Opposite sides parallel and equal, all angles are 90°, diagonals are equal: ___________________
3. Only one pair of parallel sides: ___________________
4. Four equal sides and four equal angles (all 90°): ___________________