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.

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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.

The true statements about the reflectional symmetry of a regular heptagon are:

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

The line of symmetry of a shape divides the shape into equal segments

A regular heptagon has 7 sides.So, it has 7-fold symmetry

Also, the line of symmetry passes through the midpoint and meets the opposite vertex.

Hence, the true statements are: (b) and (c)

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