Question

A regular octagon has what type of symmetry?

A.

line symmetry only

B.

point symmetry only

C.

both point and line symmetry

OD.

neither point nor line symmetry

Answer 1

Answer:

C

Step-by-step explanation:

A regular octagon has 8 lines of symmetry.

The point of intersection of the lines of symmetry of a regular octagon is the point of symmetry.

Answer 2

A regular octagon has both point and line symmetry. Thus, option C is the right choice.

What are the different types of symmetry?

The different types of symmetry are:

1. Line symmetry: A shape is symmetric about a line when the two images formed on the two sides of the line are identical.
2. Point symmetry: A shape is symmetric about a point, when the shape is rotated about the point for 180°, gives the same shape.
3. Rotational symmetry: A shape is rotationally symmetric, when the shape on rotation about a point, with an angle of value less than 360°, gives the same shape back.

How to solve the given question?

In the question, we are asked about the types of symmetry that a regular octagon has.

A regular octagon has 8 lines of symmetry about which the shape divides itself into equal halves.

These are the 4 lines joining each opposite vertex, and the other 4 are the lines passing through the midpoints of opposite sides.

A regular octagon is point symmetric as 180° rotation about the point of intersection of the lines of symmetry gives the same shape back.

Thus, we can say that a regular octagon has both point and line symmetry. Thus, option C is the right choice.

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