Answer:
The correct option is;
The points on the perpendicular bisector of a side of a triangle are equidistant from the vertices of the side it bisects
Step-by-step explanation:
With the assumption that that the question meant that ΔACD and ΔBCD are congruent, we have;
Segment [tex]\overline {AC}[/tex] is congruent to segment [tex]\overline {BC}[/tex] by Congruent Parts of Congruent Triangles are Congruent, CPCTC
Similarly, segment [tex]\overline {DA}[/tex] is congruent to segment [tex]\overline {DB}[/tex] by Congruent Parts of Congruent Triangles are Congruent, CPCTC
Therefore, the points on the perpendicular bisector of a side of a triangle are equidistant from the vertices of the side it bisects
