Question

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Answer 1

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.

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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°.

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Comment on symmetry of regular polygons

Any 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.)