MATH SOLVE

3 months ago

Q:
# HELP NEEDED, GIVING BRAINLIEST!What type(s) of symmetry does a regular octagon have? (CHOOSE MORE THAN ONE OPTION IF NEEDED)A. Line symmetry B. Rotational symmetry; with angles of rotation that are multiples of 30°C. Rotational symmetry; with angles of rotation that are multiples of 45°D. Rotational symmetry; with angles of rotation that are multiples of 60°

Accepted Solution

A:

Answer: A. Line symmetry C. Rotational symmetry ... 45°Step-by-step explanation:First of all, you need to have some idea what symmetry means.A figure has line symmetry if it can be folded on a line and the halves of the figure lie on top of each other.Here, any line through opposite vertices or through the midpoints of opposite sides is a line of symmetry. This figure has line symmetry.__A figure has rotational symmetry if it can be rotated by some amount less than a full turn, and it lies on top of itself. The number of times you can do this in a full turn is the degree of the symmetry.Here, the figure can be rotated 1/8 turn (360°/8 = 45°) and it will be indistinguishable from the original. It has rotational symmetry with angles of rotation that are multiples of 45°.____Comment on symmetry of regular polygonsAny regular n-gon will have rotational symmetry of degree n, and symmetry about a line through its center and any vertex or side midpoint. (For odd n, such a line through a vertex goes through the midpoint of the opposite side.)