Question

Can someone pls help me out on this, just fill in the blanks on the columns, it’s geometry btw. It’s urgent pls so ASAP!!

Answer 1

1) Isosceles $\triangle ABC$ with $\overline{AC} \cong \overline{BC}$, $\overline{DE} \perp \overline{AC}$, $\overline{DF} \perp \overline{BC}$, $\overline{DE} \cong \overline{DF}$ (given)

2) $\angle CAB \cong \angle CBA$ (angles opposite congruent sides in a triangle are congruent)

3) $\angle AED$ and $\angle DFB$ are right angles (perpendicular lines form right angles)

4) $\angle AED \cong \angle DFB$ (all right angles are congruent)

5) $\triangle DEA \cong \triangle DFB$ (AAS)

6) $D$ is the midpoint of $\overline{AB}$ (if a point splits a segment into two congruent parts, it is a midpoint)