Question

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

Explanation:

Step1: Recall reflectional symmetry property

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

Step2: Analyze each diagram

• The first diagram (if it has 5 lines) follows the rule. A regular pentagon's line of symmetry connects a vertex to the mid - point of the opposite side. Since there are 5 vertices, there are 5 such lines.
• The second diagram (if it has more than 5 lines) is incorrect as a regular pentagon doesn't have that many.
• The third diagram (if it has only 1 line) is incorrect as it's missing 4 lines.
• The fourth diagram (if the lines are not through vertex and mid - point of opposite side) is incorrect in line - placement.

So, the diagram with 5 lines of symmetry (each through a vertex and mid - point of the opposite side) is correct.

Answer:

The first diagram (assuming the first one has 5 lines of symmetry as a regular pentagon should).