Test: Shapes and Symmetry - Year 8 MCQ

A Isosceles triangle has only one line of symmetry.

A parallelogram does not have any lines of symmetry.

• Symmetry involves a shape being identical on both sides of a line.
• A parallelogram can be divided by a line, but both sides will not be mirror images.
• Thus, it has zero lines of symmetry.

The rectangle is the shape that meets the criteria of having both rotational symmetry and at least one line of symmetry.

• A rectangle has two lines of symmetry, which are the lines through the midpoints of opposite sides.
• It also has rotational symmetry of 180 degrees, meaning it looks the same after a half-turn.

The figure with two lines of symmetry and rotational symmetry of order 2 is a rhombus. Here’s why:

• A rhombus has two lines of symmetry, which are its diagonals.
• It also has rotational symmetry of order 2, meaning it looks the same after a half-turn (180 degrees).

A shape with rotational symmetry of order 6 can be rotated into a position that looks the same at six different angles within a full 360 degrees.

• A hexagon, specifically a regular hexagon, has this property.
• The hexagon can be rotated by 60 degrees and will still look the same, repeating this six times in a full circle.

Therefore, the correct answer is the hexagon.