Symmetry

Shape A and shape B are drawn below.

Write down the mathematical name of each of the shapes.

Write down the order of rotational symmetry of shape A.

Add correct notation to the shape below to show that it is an isosceles triangle.

For each letter below, draw all the lines of symmetry.

This shape is drawn using four quarter circles.

Write down the order of rotation symmetry for the shape.

The diagram shows a parallelogram.

The parallelogram has rotation symmetry of order 2.

Mark the centre of rotation with a cross (X).

On the grid below, draw a four-sided shape that has rotation symmetry of order 4.

Here is a shape.

On the diagram, draw the shape’s two lines of symmetry.

Here is another shape.

Write down the order of rotation symmetry of the shape.

Sketch a quadrilateral that has exactly one line of symmetry.

Write down the mathematical name of your quadrilateral.

Here is a rhombus.

On the diagram, draw all of the lines of symmetry.

Write down the order of rotation symmetry of the rhombus.

Write down the mathematical name of each of these shapes.

A triangle with 3 equal sides.

(a)(i)........ triangle

A quadrilateral with 4 equal sides and no right angles.

Here is a rectangle.

On the diagram, draw the rectangle’s two lines of symmetry.

The rectangle has rotation symmetry of order 2.

Amaya says

A rectangle is the only quadrilateral that has rotation symmetry of order 2.

Is she correct? Show how you decide.

Add the correct symbols to this diagram to show that line AB is parallel to line DC.

Write down the mathematical name of this polygon.

Write down the order of rotation symmetry of the polygon.

A shape is drawn on a one-centimetre grid.

Find the perimeter of the shape.

How many lines of symmetry does the shape have?

Here is a hexagon.

On the diagram, draw the hexagon’s two lines of symmetry.

Write down the order of rotation symmetry of the hexagon.

A shape is drawn on a one-centimetre grid.

Ring the mathematical name of the shape.

Pentagon Square Octagon Rhombus

How many lines of symmetry does the shape have?

Work out the area of the shape.

Write down the mathematical name of this triangle. Choose from the list in the box.

Write down the order of rotation symmetry of this regular octagon.

Write down the number of lines of symmetry of this hexagon.

Write down the order of rotation symmetry of this shape.

A triangle has just one line of symmetry.

Write down the mathematical name of this type of triangle.

Sara says

All parallelograms have 2 lines of symmetry and rotation symmetry of order 2.

Explain why Sara is not correct.