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Symmetry in Quadrilaterals

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Symmetry in Quadrilaterals

Symmetrical quadrilateral shapes

📐 Part 1: Reflection Symmetry

1. Which quadrilateral has exactly 4 lines of reflection symmetry?

Rectangle

Square

Rhombus

Parallelogram

2. How many lines of symmetry does a rectangle have?

0

1

2

4

3. Which quadrilaterals have at least one line of reflection symmetry? (Select all that apply)

Square

Rectangle

Rhombus

Kite

Parallelogram

4. A kite has _______ line(s) of reflection symmetry that passes through the _______ of unequal sides.

Fill in the blanks: __________ and __________

🔄 Part 2: Rotational Symmetry

5. What is the order of rotational symmetry for a square?

1

2

4

8

6. Which quadrilateral has rotational symmetry of order 2 but NO lines of reflection symmetry?

Square

Rectangle

Rhombus

Parallelogram

7. Complete the table showing the order of rotational symmetry for each quadrilateral:

Square: _______

Rectangle: _______

Rhombus: _______

Kite: _______

Parallelogram: _______

✏️ Part 3: Investigation and Explanation

8. Draw a quadrilateral that has exactly 1 line of reflection symmetry in the space below:
9. Explain why a parallelogram (that is not a rectangle or rhombus) has rotational symmetry but no reflection symmetry:
10. A rhombus has 2 lines of reflection symmetry. Describe where these lines are positioned in relation to the shape:
11. Using mathematical language, explain the difference between reflection symmetry and rotational symmetry:

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