which statements are true about the reflectional symmetry of a regular heptagon? select two options. it has…

which statements are true about the reflectional symmetry of a regular heptagon? select two options. 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.

which statements are true about the reflectional symmetry of a regular heptagon? select two options. 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

Explanation:

Step1: Recall properties of regular heptagon

A regular heptagon has 7 sides and 7 vertices.

Step2: Analyze number of lines of symmetry

A regular heptagon has 7 lines of symmetry, so the statement "It has only 1 line of reflectional symmetry" is false.

Step3: Analyze types of lines of symmetry

  • Lines of symmetry of a regular heptagon connect a vertex and the mid - point of an opposite side.
  • A regular heptagon has 7 - fold symmetry (rotational symmetry of order 7 and also 7 lines of reflectional symmetry).
  • Lines of symmetry do not connect just two vertices in all cases and do not connect mid - points of opposite sides (since for a heptagon, there are no truly "opposite" sides in the sense of a polygon with an even number of sides).

Answer:

A line of symmetry will connect a vertex and a midpoint of an opposite side., It has 7 - fold symmetry.