Page 89 - MAT KS3 Y8 Cambridge CheckPoint

8.2 Identifying symmetry of 2D shapes

3 Write down the number of lines of symmetry for each shape.
a b c d

e f g h

4 For each of the shapes in question 3, write down the order of rotational symmetry.

5 Copy and complete the table to show the symmetry properties of some quadrilaterals.
Square Rectangle Rhombus Parallelogram Kite Trapezium Isosceles
trapezium
Shape

Number of lines of
symmetry
Order of rotational
symmetry

6 For each triangle, write down: i the number of lines of symmetry
ii the order of rotational symmetry.
a b c d

equilateral triangle isosceles triangle scalene triangle right-angled isosceles triangle
7 In each diagram the blue lines are lines of symmetry. Copy and complete each diagram.
a b c

8 Shen has made this pattern from yellow and blue tiles. He also has two spare blue tiles.

There are eight different ways I can add the two blue tiles to the
pattern to make a pattern with only one line of symmetry.
There are two different ways I can add the two blue tiles to the
pattern to make a pattern with two lines of symmetry.
There is only one way I can add the two blue tiles to the pattern
to make a pattern with four lines of symmetry.

Show that Shen’s statements are correct. You can join the tiles side to side or corner
to corner .

8 Shapes and geometric reasoning 87