Question

recognizing reflectional symmetry
which diagram has all of the correct lines of reflectional symmetry for the regular pentagon?

Explanation:

Step1: Recall the property of a regular pentagon

A regular pentagon has 5 lines of reflectional symmetry. Each line of symmetry passes through a vertex and the mid - point of the opposite side.

Step2: Analyze each diagram

• The first diagram has only 3 lines of symmetry (incorrect).
• The second diagram has 5 lines of symmetry (correct as per the property of a regular pentagon).
• The third diagram has only 1 line of symmetry (incorrect).
• The fourth diagram has 3 lines of symmetry (incorrect).

Answer:

The second diagram (the one with 5 lines of symmetry passing through each vertex and the mid - point of the opposite side) is the correct one.