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 correct answers are:
a line of symmetry will connect a vertex and a midpoint of an opposite side
it has 7-fold symmetry.

Explanation:
 A line of symmetry is a line that we can use to "fold" a figure in half. In order to do this, we will "fold" the figure from a vertex to the middle of the side opposite the vertex.
Since there are 7 vertices, there will be 7 lines of reflection.

Answer 2

Answer:

A line of symmetry will connect a vertex and a mid point of an opposite side, it has 7 fold symmetry.

Step-by-step explanation:

When the figure can be folded over onto itself along a line. This line is called the "line of symmetry" and this exists for the rotational symmetry.

If we connect a vertex and a midpoint of an opposite side of an heptagon by drawing a line, we will obtain two equal halves.

Also, a heptagon has seven vertices, therefore it has 7 fold symmetry.