Question

Complete the proofs, ASAP!!! (Geometry)

Answer 1

1)
`\triangle ABC` with
`\overline{AC} \cong \overline{BC}`,
`\overline{AB} \parallel \vec{CE}` (given)

2)
`\angle A \cong \angle B` (base angles theorem)

3)
`\angle A \cong \angle 1` (corresponding angles theorem)

4)
`\angle B \cong \angle 2` (alternate interior angles theorem)

5)
`\angle 1 \cong \angle 2` (transitive property of congruence)

6)
`\vec{CE}` bisects
`\angle BCD` (if a ray splits an angle into two congruent parts, it is a bisector)