Question

Which statements are true about the reflectional symmetry of a regular heptagon? Check all that apply. It has only 1 line of reflectional symmetry. A line of symmetry will connect 2 vertices. A line of symmetry will connect a vertex and a midpoint of an opposite side. It has 7-fold symmetry. A line of symmetry will connect the midpoints of 2 opposite sides.

Answer 1

The answer is:

1- A line of symmetry will connect a vertex and a midpoint of an opposite side.

2- It has $7$-fold symmetry.

The explanation for this answer is shown below:

1- By definition, a line of symmetry is an imaginary line that divides a figure into two equal images or equal halves. If you connect a vertex and a midpoint of an opposite side of an heptagon by drawing a line, you will obtain two equal halves.

2- An heptagon has seven vertices, therefore, based on the information mentioned above, it has $7$-fold symmetry.

Answer 2

Answer with Explanation:

A regular heptagon is a seven sided polygon that has 7 edges or vertices.

Reflectional symmetry is also known as a mirror symmetry. This states that if a line is drawn between the shape to divide it into two halves, then both the haves will be exact reflection of each other.

So, out of the given statements, the true statements are:

- A line of symmetry will connect a vertex and a midpoint of an opposite side. We can define the line of symmetry as an imaginary line that divides a figure in 2 equal halves. If we connect a vertex and a midpoint of an opposite side of an heptagon then we will obtain two equal halves.

- It has 7-fold symmetry. Because it is a heptagon, so it has 7 fold symmetry.