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
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
