Question

question 5 of 10
if a shape is a regular octagon with eight sides, which of the following must be true?

check all that apply.

□ a. it has exactly one line of symmetry.
□ b. it has reflectional symmetry.
□ c. it has eight lines of symmetry.
□ d. it is symmetrical.

Explanation:

• Option A: A regular octagon has 8 lines of symmetry, not 1, so A is false.
• Option B: A regular octagon can be reflected over lines (like through midpoints of sides or vertices) to map onto itself, so it has reflectional symmetry, B is true.
• Option C: A regular octagon with 8 equal sides and angles has 8 lines of symmetry (4 through midpoints of opposite sides, 4 through opposite vertices), C is true.
• Option D: Since it has reflectional (and rotational) symmetry, it is symmetrical, D is true.

Answer:

B. It has reflectional symmetry.
C. It has eight lines of symmetry.
D. It is symmetrical.