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Polygon Properties and Symmetry

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Polygon Properties and Symmetry

Polygon Properties and Symmetry

Various polygons showing symmetry lines

📐 Part 1: Identifying Polygons

1. Circle the shapes that are polygons:

Triangle

Circle

Square

Rectangle

Oval

Pentagon

2. Count the edges and vertices for each polygon:

Triangle: _____ edges, _____ vertices

Square: _____ edges, _____ vertices

Pentagon: _____ edges, _____ vertices

Hexagon: _____ edges, _____ vertices

3. What makes a shape a polygon?

🔺 Part 2: Classifying Triangles and Quadrilaterals

4. Match each triangle type with its description:
1. Equilateral triangle
2. Isosceles triangle
3. Scalene triangle
A. All sides different lengths
B. All sides equal length
C. Two sides equal length
5. Which quadrilateral has all sides equal and all angles 90°?

Rectangle

Square

Parallelogram

Trapezium

6. Name two properties that make a rectangle special:

🪞 Part 3: Line Symmetry

7. Draw the lines of symmetry on these shapes:

Draw a square, rectangle, and equilateral triangle in the box above, then add their lines of symmetry.

8. How many lines of symmetry does each shape have?

Square: _____ lines of symmetry

Rectangle: _____ lines of symmetry

Equilateral triangle: _____ lines of symmetry

Circle: _____ lines of symmetry

9. True or False: A line of symmetry divides a shape into two identical halves.

True

False

🔄 Part 4: Rotational Symmetry

10. Which shapes look exactly the same after being rotated 180°?

Square

Rectangle

Equilateral triangle

Regular pentagon

11. A square has rotational symmetry of order _____. This means it looks the same after being turned _____ times before returning to its original position.
12. Explain what rotational symmetry means in your own words:

📏 Part 5: Angles and Properties

13. The sum of interior angles in a triangle is always _____°.
14. The sum of interior angles in a quadrilateral is always _____°.
15. Match the angle types:
1. Right angle
2. Acute angle
3. Obtuse angle
A. Less than 90°
B. Exactly 90°
C. Greater than 90°
16. Draw an example of parallel lines and perpendicular lines:
17. Name one real-world object that contains:

Parallel lines: ________________________

Perpendicular lines: ________________________

A polygon with line symmetry: ________________________

🎯 Part 6: Challenge Questions

18. Create your own polygon classification diagram. Show how you would sort triangles and quadrilaterals:
19. If you fold a shape along its line of symmetry, what should happen?
20. Explain why understanding polygon properties is useful in everyday life:

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