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)