Line symmetry questions with answers

Questions

1. Question 1Is the dashed line a line of symmetry?

   The diagram shows the letter T. State whether the dashed line is a line of symmetry of the shape.

   Show the worked solution

   1. Step 1: Imagine folding the shape along the dashed lineEach corner on one side must land exactly on a corner on the other side, and each side on a side.
   2. Step 2: Do the two halves match?No: the two halves do not match when folded, so the dashed line is not a line of symmetry.
2. Question 2Is the dashed line a line of symmetry?

   The diagram shows the letter N. State whether the dashed line is a line of symmetry of the shape.

   Show the worked solution

   1. Step 1: Imagine folding the shape along the dashed lineEach corner on one side must land exactly on a corner on the other side, and each side on a side.
   2. Step 2: Do the two halves match?No: the two halves do not match when folded, so the dashed line is not a line of symmetry.
3. Question 3How many lines of symmetry?

   The diagram shows an arrow. Write down the number of lines of symmetry of the shape.

   Show the worked solution

   1. Step 1: Look for every fold line that makes the two halves matchLines of symmetry: the line along the arrow.
   2. Step 2: Count them$\text{Number of lines of symmetry} = 1$
4. Question 4How many lines of symmetry?

   The diagram shows a square. Write down the number of lines of symmetry of the shape.

   Show the worked solution

   1. Step 1: Look for every fold line that makes the two halves matchLines of symmetry: the two diagonals and the two lines joining the middles of opposite sides.
   2. Step 2: Count them$\text{Number of lines of symmetry} = 4$