Question

question 9 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 is symmetrical.
b. it has reflectional symmetry.
c. it has exactly one line of symmetry.
d. it has eight lines of symmetry.

Explanation:

Step1: Recall properties of regular octagon

A regular octagon is a regular polygon.

Step2: Analyze symmetry

All regular polygons are symmetrical (so A is correct). Regular polygons have reflectional symmetry (so B is correct).

Step3: Calculate number of lines of symmetry

The number of lines of symmetry of a regular polygon is equal to the number of its sides. For a regular octagon with 8 sides, it has 8 lines of symmetry (so D is correct and C is wrong as it says exactly one line of symmetry).

Answer:

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