Properties of quadrilaterals

The Maths Habit

Sam turns this square. Sam says it is not a square any more. Is Sam correct?

No. Turning it does not change its sides or its corners. It is still a square.

Which pair of lines is parallel?

A

B

C

B: they go the same way and never meet

Which corner is a right angle?

A

B

C

C: a square corner, a quarter turn

Quadrilateral: A flat shape with four straight sides.

Parallel: Lines that go the same way and never meet. Arrows show them.

Right angle: A square corner. A small square shows it.

Equal sides: Sides that are the same length. Dashes show them.

1Parallel sidesLook for the arrows. The same arrows show a pair.
2Right anglesLook for the small squares.
3SidesLook for the dashes. The same dashes mean the same length.
4NameUse the boxes you ticked to name the shape.

Two pairs of parallel sides

4 right anglesno right anglesall sides
equal

square

rhombus

sides not
all equal

rectangle

parallelogram

Tick the boxes. Name the shape.

1Parallel sides2 pairs1 pairnone

2Right angles4none

3Sidesall equalnot all equal

4Namerectangle

Tick the boxes. Name the shape.

1Parallel sides2 pairs1 pairnone

2Right angles4none

3Sidesall equalnot all equal

4Namerhombus

Tick the boxes. Name the shape.

1Parallel sides2 pairs1 pairnone

2Right angles4none

3Sidesall equalnot all equal

4Namerectangle

Tick the boxes. Name the shape.

1 2 32 pairs

	4 right angles	no right angles
all equal	square	rhombus
not all equal	rectangle	parallelogram

1Parallel sides2 pairs1 pairnone

2Right angles4none

3Sidesall equalnot all equal

4Nameparallelogram

Tick the boxes. Name the shape.

1Parallel sides2 pairs1 pairnone

2Right angles4none

3Sidesall equalnot all equal

4Namerectangle

Tick the boxes. Name the shape.

1 2 32 pairs

	4 right angles	no right angles
all equal	square	rhombus
not all equal	rectangle	parallelogram

1Parallel sides2 pairs1 pairnone

2Right angles4none

3Sidesall equalnot all equal

4Namesquare

Tick the boxes. Name the shape.

1Parallel sides2 pairs1 pairnone

2Right angles4none

3Sidesall equalnot all equal

4Namerectangle

Tick the boxes. Name the shape.

1 2 32 pairs

	4 right angles	no right angles
all equal	square	rhombus
not all equal	rectangle	parallelogram

1Parallel sides2 pairs1 pairnone

2Right angles4none

3Sidesall equalnot all equal

4Namerectangle

Tick the boxes. Name each shape.

1

1Parallel sides2 pairs1 pairnone

2Right angles4none

3Sidesall equalnot all equal

4Namerhombus

2

1Parallel sides2 pairs1 pairnone

2Right angles4none

3Sidesall equalnot all equal

4Namesquare

3

1Parallel sides2 pairs1 pairnone

2Right angles4none

3Sidesall equalnot all equal

4Nameparallelogram

1 2 32 pairs

	4 right angles	no right angles
all equal	square	rhombus
not all equal	rectangle	parallelogram

How many pairs of parallel sides?

1 pair: one kind of arrow

Fewer parallel sides

trapezium

1 pair of parallel sides

kite

no parallel sides
two pairs of equal sides next to each other

Tick the boxes. Name the shape.

1Parallel sides2 pairs1 pairnone

2Right angles4none

3Sidesall equalnot all equal

4Nametrapezium

Tick the boxes. Name the shape.

1Parallel sides2 pairs1 pairnone

2Right angles4none

3Sidesall equalnot all equal

4Namekite

Tick the boxes. Name the shape.

1Parallel sides2 pairs1 pairnone

2Right angles4none

3Sidesall equalnot all equal

4Nametrapezium

Tick the boxes. Name the shape.

1 2 32 pairs

	4 right angles	no right angles
all equal	square	rhombus
not all equal	rectangle	parallelogram

1 pair trapezium none kite

1Parallel sides2 pairs1 pairnone

2Right angles4none

3Sidesall equalnot all equal

4Nametrapezium

Tick the boxes. Name the shape.

1Parallel sides2 pairs1 pairnone

2Right angles4none

3Sidesall equalnot all equal

4Nametrapezium

Tick the boxes. Name the shape.

1 2 32 pairs

	4 right angles	no right angles
all equal	square	rhombus
not all equal	rectangle	parallelogram

1 pair trapezium none kite

1Parallel sides2 pairs1 pairnone

2Right angles4none

3Sidesall equalnot all equal

4Namekite

Tick the boxes. Name the shape.

1Parallel sides2 pairs1 pairnone

2Right angles4none

3Sidesall equalnot all equal

4Nametrapezium

Tick the boxes. Name the shape.

1 2 32 pairs

	4 right angles	no right angles
all equal	square	rhombus
not all equal	rectangle	parallelogram

1 pair trapezium none kite

1Parallel sides2 pairs1 pairnone

2Right angles4none

3Sidesall equalnot all equal

4Nameparallelogram

Tick the boxes. Name each shape.

1

1Parallel sides2 pairs1 pairnone

2Right angles4none

3Sidesall equalnot all equal

4Namekite

2

1Parallel sides2 pairs1 pairnone

2Right angles4none

3Sidesall equalnot all equal

4Nametrapezium

3

1Parallel sides2 pairs1 pairnone

2Right angles4none

3Sidesall equalnot all equal

4Namerectangle

1 2 32 pairs

	4 right angles	no right angles
all equal	square	rhombus
not all equal	rectangle	parallelogram

1 pair trapezium none kite

Is the name correct? Thumbs up or thumbs down.

AThis is a square.Correct

BThis is a rhombus.No: a kite

CThis is a trapezium.Correct

DThis is a rectangle.No: a parallelogram

Properties of quadrilaterals worksheet, page 1

Properties of quadrilaterals worksheet, page 2

Answer sheet

Is a square a rectangle? Explain.
Yes, it has 4 right angles
Can a trapezium have a right angle? Draw one to show it.
Yes, it can have two
Which shapes have 2 pairs of parallel sides?
square, rectangle, rhombus, parallelogram

Tick the boxes. Name the shape.1 Parallel sides2 pairs1 pairnone2 Right angles4none3 Sidesall equalnot all equal
4 Name = parallelogram
Tick the boxes. Name the shape.1 Parallel sides2 pairs1 pairnone2 Right angles4none3 Sidesall equalnot all equal
4 Name = kite
Name the shape.
Name = rhombus

Exit tickets to print