Question

a student thinks that the octagon in the diagram to the right has 16 lines of symmetry. explain and correct the student’s error. select the correct choice below and, if necessary, fill in the answer box to complete your choice. a. the student counted the total number of arrow heads when they should have just counted the number of... (partially visible) b. the student counted the total number of lines when they should have just counted the number of arrow heads... c. the student did not make an error when determining the lines of symmetry

Explanation:

A regular octagon has 8 lines of symmetry (4 through vertices and mid - sides, 4 through mid - sides and opposite vertices). The student likely confused the number of arrow heads (which is 16, as seen in the diagram) with the number of lines of symmetry. So the error is counting arrow heads instead of lines, and the correct number of lines of symmetry for a regular octagon is 8.

Answer:

A. The student counted the total number of arrow heads when they should have just counted the number of lines. Therefore, the correct answer is 8.