How many lines of symmetry does a regular decagon have?
0
5
10
20
I believe the answer is 10. Thanks for the help :)
Ignore previous bogus posting.
There are 10 lines of symmetry.
There are 5 lines joining opposite vertices, and there are 5 lines joining the midpoints of opposite sides.
I think the answer is 10
You're correct! A regular decagon has 10 lines of symmetry. Let me explain how to arrive at this answer:
To determine the number of lines of symmetry of a regular polygon, you need to consider the properties of symmetry. A line of symmetry divides a shape into two congruent halves that can be superimposed onto each other.
For a regular decagon, all sides and angles are congruent, and each vertex is equidistant from the center of the decagon. This means that any line passing through the center and one of the vertices will divide the decagon into two congruent halves.
Since there are 10 vertices in a regular decagon, you can draw a line of symmetry through each vertex, connecting it to the center. Each of these lines will split the decagon into two congruent halves, giving you a total of 10 lines of symmetry.
Therefore, the correct answer is 10. Well done!