Question

This diagram is a straightedge and compass construction. Select all true statements. A) Line E F is the bisector of angle BAC. B)Line E F is the perpendicular bisector of segment BA. C)Line E F is the perpendicular bisector of segment AC.D) Line E F is the perpendicular bisector of segment BD.E) Line E F is parallel to line CD

Answer 1

According to the given diagram, we can deduct that Line EF is the bisector of angle BAC because AB = AD, and EF passes through the middle of BD, which means line EF is the perpendicular bisector of segment BD.

Hence, the right answers are 1 and 4.