Construct quadrilaterals with and without parallel and perpendicular sides | Maths

Starter quiz

Select the triangles.
How many pairs of parallel sides do these shapes have? Match the shape with the correct number of pairs of parallel sides.

A

⇔

1 ✓

B

⇔

0 ✓

C

⇔

2 ✓

D

⇔

3 ✓
How many pairs of perpendicular sides do these shapes have? Match the shape with the correct number of pairs of perpendicular sides.

A

⇔

1 ✓

B

⇔

2 ✓

C

⇔

3 ✓
Look at this polygon. Match the different properties to the correct number.

5

⇔

is the number of sides. ✓

2

⇔

is the number of pairs of parallel sides. ✓

3

⇔

is the number of pairs of perpendicular sides. ✓
How many pairs of parallel sides does this polygon have? ______ pairs of parallel sides.

'2' ✓
How many pairs of perpendicular sides does this polygon have? ______ pairs of perpendicular sides.

'3' ✓

Exit quiz

Match the start and end of the statements correctly.

Perpendicular sides

⇔

meet at a right angle. ✓

Parallel sides

⇔

always stay the same distance apart. ✓
This quadrilateral has one right angle. What else do you know?

It has one pair of parallel sides.

It has one pair of perpendicular sides. ✓
Which statements about this polygon are true?

It is a pentagon. ✓

It has two pairs of parallel sides. ✓

It has no pairs of parallel sides.

It has 3 pairs of perpendicular sides. ✓
Look at this quadrilateral. Match the properties with the correct numbers

4

⇔

is the number of right angles. ✓

2

⇔

is the number of pairs of parallel sides. ✓

4

⇔

is the number of pairs of perpendicular sides. ✓
Look at the polygons. Which statements are true?

Both polygons are trapeziums. ✓

Both polygons have one pair of parallel sides. ✓

Both polygons have one pair of perpendicular sides

Both polygons are quadrilaterals ✓
Look at the polygons. Which statements are true?

Both polygons are rectangles.

Both polygons have two pairs of parallel sides. ✓

Both polygons have two pairs of perpendicular sides.

Both polygons are parallelograms. ✓

Worksheet

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Lesson Details

Key learning points

Construction strips allow you to create different polygons.
Lines are perpendicular when they are at right angles to each other.
Lines are parallel because they are always the same distance apart.

Common misconception

Pupils may find it challenging to identify specific quadrilaterals e.g. trapeziums when making them out of construction sticks as it can be harder to see the properties.

Using a ruler to draw the shape, using the inside of the construction sticks, can support pupils in seeing and identifying the key properties to help them classify a quadrilateral.

Keywords

Polygon - A polygon is a 2D shape made up of three or more straight lines.
Perpendicular - Two lines which meet at a right angle are perpendicular.
Parallel - Parallel lines are straight lines that are always the same distance apart. They never get closer together or further apart.