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Symmetry in Quadrilaterals
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Symmetry in Quadrilaterals
📐 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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