Symmetry Learning Pages

Your Turn!!

π + − ÷ × < > ≤ ≥ π

Check! Get it right on the first attempt to mark it as done.

Your Turn!!

State the numbers which would complete the number of lines of symmetry column in the table above.

Hint: In a similar way as the rectangle above, consider carefully whether the diagonals of the shape are true mirror lines.

a = π + − ÷ × < > ≤ ≥ π , b = π + − ÷ × < > ≤ ≥ π , c = π + − ÷ × < > ≤ ≥ π ,

d = π + − ÷ × < > ≤ ≥ π , e = π + − ÷ × < > ≤ ≥ π

Your Turn!!

Ask yourself this question, "How many times does the shape appear the same when rotated through 360 degrees?" for the other shapes and state the numbers which would complete the third column in the table above.

Hint: All shapes must have an order of rotational symmetry of 1 or more, because all shapes look the same once they have been rotated through the full 360 degrees. Shapes that are said to have rotational symmetry must therefore have an order of rotational symmetry greater than 1!

f = π + − ÷ × < > ≤ ≥ π , g = π + − ÷ × < > ≤ ≥ π , h = π + − ÷ × < > ≤ ≥ π ,

i = π + − ÷ × < > ≤ ≥ π , j = π + − ÷ × < > ≤ ≥ π , k = π + − ÷ × < > ≤ ≥ π

Your Turn!!

π + − ÷ × < > ≤ ≥ π

Your Turn!!

a) How many lines of symmetry does a regular 8-sided polygon have? π + − ÷ × < > ≤ ≥ π

b) What is the order of rotational symmetry of a regular 8-sided polygon? π + − ÷ × < > ≤ ≥ π

RAPID TEST

a) Square b) Rectangle c) Kite d) Parallelogram e) Regular 5-sided polygon

1. How many lines of symmetry do the shapes above have?

a) π + − ÷ × < > ≤ ≥ π , b) π + − ÷ × < > ≤ ≥ π , c) π + − ÷ × < > ≤ ≥ π ,
d) π + − ÷ × < > ≤ ≥ π , e) π + − ÷ × < > ≤ ≥ π

2. State their order of rotational symmetry.

a) π + − ÷ × < > ≤ ≥ π , b) π + − ÷ × < > ≤ ≥ π , c) π + − ÷ × < > ≤ ≥ π ,
d) π + − ÷ × < > ≤ ≥ π , e) π + − ÷ × < > ≤ ≥ π