Quadrilateral Properties - Maths

SQUARE

properties we are looking for:

• Pairs of parallel sides

• Pairs of equal length sides

• Pairs of equal angles

• Number of right angles

• Order of rotational symmetry

• Number of lines of symmetry

• Diagonals

  • If they bisect

  • If they bisect at 90’

  • If the diagonals are equal length

• 2

• 4

• 4

• 4

• 4

• 4

• Yes

• Yes

• Yes

RECTANGLE

properties we are looking for:

• Pairs of parallel sides

• Pairs of equal length sides

• Pairs of equal angles

• Number of right angles

• Order of rotational symmetry

• Number of lines of symmetry

• Diagonals

  • If they bisect

  • If they bisect at 90’

  • If the diagonals are equal length

• 2

• 2

• 4

• 4

• 2

• 2

• Yes

• No

• Yes

PARALLELOGRAM

properties we are looking for:

• Pairs of parallel sides

• Pairs of equal length sides

• Pairs of equal angles

• Number of right angles

• Order of rotational symmetry

• Number of lines of symmetry

• Diagonals

  • If they bisect

  • If they bisect at 90’

  • If the diagonals are equal length

• 2

• 2

• 2

• 0 (unless rectangle)

• 2

• 0

• Yes

• No

• Yes

RHOMBUS

properties we are looking for:

• Pairs of parallel sides

• Pairs of equal length sides

• Pairs of equal angles

• Number of right angles

• Order of rotational symmetry

• Number of lines of symmetry

• Diagonals

  • If they bisect

  • If they bisect at 90’

  • If the diagonals are equal length

• 2

• 4

• 2

• 0

• 2

• 2

• Yes

• Yes

• No

KITE

properties we are looking for:

• Pairs of parallel sides

• Pairs of equal length sides

• Pairs of equal angles

• Number of right angles

• Order of rotational symmetry

• Number of lines of symmetry

• Diagonals

  • If they bisect

  • If they bisect at 90’

  • If the diagonals are equal length

• 0

• 2

• 2 (at the ends of the equal sides)

• 0 (1/2 if r-a kite)

• 1

• 1

• Yes (one diagonal bisects the other)

• Yes

• No

TRAPEZIUM

properties we are looking for:

• Pairs of parallel sides

• Pairs of equal length sides

• Pairs of equal angles

• Number of right angles

• Order of rotational symmetry

• Number of lines of symmetry

• Diagonals

  • If they bisect

  • If they bisect at 90’

  • If the diagonals are equal length

• 1 (bases)

• 0/1

• 0/1

• 0

• 1

• 0/1

• No

• No

• No

ARROWHEAD

properties we are looking for:

• Pairs of parallel sides

• Pairs of equal length sides

• Pairs of equal angles

• Number of right angles

• Order of rotational symmetry

• Number of lines of symmetry

• Diagonals

  • If they bisect

  • If they bisect at 90’

  • If the diagonals are equal length

• 0

• 0

• 0

• 0

• 1

• 1

• No

• No

• No

RIGHT ANGLED TRAPEZIUM

properties we are looking for:

• Pairs of parallel sides

• Pairs of equal length sides

• Pairs of equal angles

• Number of right angles

• Order of rotational symmetry

• Number of lines of symmetry

• Diagonals

  • If they bisect

  • If they bisect at 90’

  • If the diagonals are equal length

• 1 (bases)

• 0/1

• 1

• 2

• 1

• 1

• No

• No

• No