Question

Use a ruler and a protractor to draw a regular pentagon. Then construct the perpendicular bisectors to the five sides.

Short answer

All the interior angles of a regular pentagone of $108°$ and it has five equal sides.

Step-by-step solution

Step 1. Given information:

All the interior angles of a regular pentagone of $108°$ and it has five equal sides.

Step 2. Concept used.

Centroid and median relation of a triangle.

Step 3. applying the concept.

Draw a pentagon ABCDE with equal sides and interior angles of $108°$

At each side draw a perpendicular bisector inwardly with a compass by taking same lengths and mark bisecting points on both sides.

All the perpendicular bisectors of the regular pentagon meet at a point inside the pentagon.