Geometric terms and notation

This shape is made from a semicircle and a square.

On the centimetre grid below, make an accurate drawing of the shape.

In the grid below, shade one quarter of the squares so that the grid has exactly two lines of symmetry. Shade complete squares only.

In the grid below, shade one quarter of the squares so that the grid has exactly two lines of symmetry. Shade complete squares only.

Here is a pattern of squares on a grid.

Draw the two lines of symmetry on the pattern.

Here is the pattern again.

Shade four more squares so that the pattern has rotational symmetry of order 4

Here are four lines on a square grid.

Which two lines are parallel?

Here is a different grid.

There are four points on this grid that each have both coordinates that are whole numbers and x-coordinate + y-coordinate = 3

Plot the four points on the grid.

ABCDE is a pentagon with AB = 7 cm

AB and BC are perpendicular.

AB and DC are equal and parallel.

Area of the pentagon = 54 cm²

The pentagon has exactly one line of symmetry.

Complete a labelled drawing of the pentagon.

Here is a quadrilateral.

Write down the letter of the obtuse angle.

Write down the letter of an acute angle.

How many lines of symmetry does the shape have?

Here is a shape.

Write down the order of rotational symmetry of the shape.

A shape has

• an even number of sides

• more sides than a square

• fewer sides than a decagon

Write down the name of one shape this could be.

Circle the letter of the shape that has exactly one line of symmetry.

In the quadrilateral, which angle is obtuse ?

Circle your answer.

ADC BAD CBA DCB

Shapes X and Y are shown on a centimetre grid.

Circle the name of shape X.

pentagon hexagon octagon decagon

Give a reason why shape Y is not a regular polygon.

Complete these statements.

Complete the diagram so that it has rotational symmetry of order 4 centre of rotation at point A.

y is an obtuse angle. Which statement is true? Tick one box.

Circle the letter of the shape that has rotational symmetry of order 2

A quadrilateral PQRS has PQ = 5 cm QR perpendicular to PQ QR = 7 cm angle QPS = 135 ° PS = 8.5 cm On the grid, draw the quadrilateral PQRS. PQ has been drawn for you.

Which type of angle is the largest? Circle your answer.

right reflex obtuse acute

The interior angle of a regular pentagon is 108° Work out the sum of the five reflex angles at the vertices of a regular pentagon.

Omar asks Harry,

“How many lines of symmetry does a pentagon have?” Harry assumes it is a regular pentagon. His answer is 5.

Draw the lines of symmetry on this regular pentagon.

Omar then says, “What if the pentagon is not regular?” For a pentagon that is not regular, what is true about the number of lines of symmetry? Tick one box.

Which shape must have rotational symmetry? Circle your answer.

isosceles triangle trapezium kite parallelogram

Here are five shapes, A to E.

In the Venn diagram, ξ is the set of all shapes Q is the set of quadrilaterals R is the set of shapes which always have rotational symmetry.

Complete the Venn diagram with the letters A to E.

Which of these cannot be the number of lines of symmetry of a triangle? Circle your answer.

0 1 2 3

Circle the order of rotational symmetry of this drawing.

0 2 4 8

Which of these shapes has no lines of symmetry? Circle the correct letter.

Which of these shapes has the most sides? Circle your answer. Hexagon Octagon Rhombus Trapezium