Question

use a compass and straightedge to construct a perpendicular bisector to $overline{de}$. your final answer should be exactly one blue line (not a line segment). select a tool above.

Explanation:

Step1: Set compass width

Open the compass wider than half - the length of $\overline{DE}$.

Step2: Draw arcs from D

Place the compass on point D and draw arcs above and below $\overline{DE}$.

Step3: Draw arcs from E

Without changing the compass width, place the compass on point E and draw arcs above and below $\overline{DE}$ that intersect the previous arcs.

Step4: Draw the perpendicular bisector

Use the straightedge to draw a line through the two intersection points of the arcs. This is the perpendicular bisector of $\overline{DE}$.

Answer:

A line constructed through the intersection points of the arcs drawn from D and E using a compass and straightedge.