Summary Properties-of-Polygons.docx

Topic/Skill Definition/Tips
Topic: Properties of Polygons Example
1. Square  Four equal sides

 Four right angles

 Opposite sides parallel

 Diagonals bisect each other at right
angles

 Four lines of symmetry

 Rotational symmetry of order four
2. Rectangle • Two pairs of equal sides
• Four right angles
• Opposite sides parallel
• Diagonals bisect each other, not at right
angles
• Two lines of symmetry
• Rotational symmetry of order two
3. Rhombus • Four equal sides
• Diagonally opposite angles are equal
• Opposite sides parallel
• Diagonals bisect each other at right
angles
• Two lines of symmetry
• Rotational symmetry of order two
4. • Two pairs of equal sides
Parallelogram • Diagonally opposite angles are equal
• Opposite sides parallel
• Diagonals bisect each other, not at right
angles
• No lines of symmetry
• Rotational symmetry of order two
5. Kite • Two pairs of adjacent sides of equal
length
• One pair of diagonally opposite angles
are equal (where different length sides
meet)
• Diagonals intersect at right angles, but
do not bisect
• One line of symmetry
• No rotational symmetry
6. Trapezium  One pair of parallel sides
 No lines of symmetry
 No rotational symmetry

Special Case: Isosceles Trapeziums have
one line of symmetry.


Mr A. Coleman Glyn School