Question

a student thinks that the octagon in the diagram to the right has 16 lines of symmetry. explain and correct the students 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 lines. therefore, the correct answer is
b. the student counted the total number of lines when they should have just counted the number of arrow heads. therefore, the correct answer is
c. the student did not make an error when determining the lines of symmetry.

Explanation:

Step1: Understand the concept of lines of symmetry

A line of symmetry is a line that divides a figure into two congruent (identical) parts. For a regular octagon, the number of lines of symmetry is equal to the number of sides. A regular octagon has 8 sides.

Step2: Analyze the student's error

The student counted the arrow - heads instead of the lines. The arrow - heads are just visual elements in the diagram, not the lines of symmetry.

Answer:

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