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Quadrilateral Properties Worksheet

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Quadrilateral Properties Worksheet worksheet preview

Quadrilateral Properties Worksheet

Various quadrilateral shapes

📐 Part 1: Identifying Quadrilaterals

1. Which quadrilateral has exactly one pair of parallel sides?

Square

Parallelogram

Trapezium

Kite

2. A rhombus has which of these properties?

All sides equal, all angles equal

All sides equal, opposite angles equal

Opposite sides equal, all angles equal

No sides equal, no angles equal

3. Which quadrilaterals have diagonals that bisect each other? (Tick all that apply)

Rectangle

Parallelogram

Trapezium

Rhombus

Kite

4. Fill in the blanks using the words: parallel, intersect, bisect

In a square, opposite sides are _____________ and the diagonals _____________ each other at right angles. The diagonals also _____________ each other.

✏️ Part 2: Properties and Reasoning

5. Complete the table by writing the number of parallel sides for each quadrilateral:
Rectangle: _____ pairs of parallel sides
Trapezium: _____ pair(s) of parallel sides
Kite: _____ pairs of parallel sides
Parallelogram: _____ pairs of parallel sides
6. Draw a rectangle and mark its diagonals. Describe what happens where the diagonals meet:
7. Explain the difference between a rhombus and a square using mathematical vocabulary:
8. A quadrilateral has four equal sides but no right angles. What is it called and how many lines of symmetry does it have?

Shape: _________________ Lines of symmetry: _____

🧠 Part 3: Problem Solving

9. Sort these properties into the correct quadrilateral. Write the letter of each property in the boxes:

Properties:

A) Diagonals bisect at right angles B) Only one pair of parallel sides C) All angles are 90° D) Diagonals are equal length

Rectangle: _____, _____
Trapezium: _____
Rhombus: _____
10. Challenge: Create your own "mystery quadrilateral" by writing three clues about its properties. Don't name the shape!

Clue 1: _________________________________________________

Clue 2: _________________________________________________

Clue 3: _________________________________________________

Answer: _________________________________________________

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