Question

Which statements are true about the lines of symmetry of a regular pentagon? Select three options

Answer 1

Complete question is;

Which statements are true about the lines of symmetry of a regular pentagon? Check all that apply.

A) Every line connects two vertices.

B) Every line connects the midpoints of 2 sides.

C) Every line bisects a vertex angle.

D) Every line bisects a side.

E) Every line is perpendicular to a side.

Answer:

C: Every line bisects a vertex angle.

D: Every line bisects a side.

E: Every line is perpendicular to a side.

Step-by-step explanation:

A shape will have a line of symmetry when after the perpendicular line is drawn through from one vertex to the centre of one side, it can be folded and the folded part will sit perfectly on top in such a way that all the edges match.

Now, a pentagon has 5 sides and by implication from the explanation of line of symmetry above, it has 5 lines of symmetry.

Attached below is an image showing the 5 lines of symmetry of a pentagon.

From the attached image, we can see that the lines of symmetry bisects a vertex angle, it bisects a side and is perpendicular to a side.

Thus correct answer is Options C, D & E