Given: Line AD Bisects ∠CAB and CA = CD. Prove: Ray CD / / Ray AB. Use a two-column form.

Question

Answer 1

The picture does not make sense with the problem statement. AD doesn't bisect ∠CAB. I'll just be using the problem statement for this. A text response doesn't lent itself to the two column format, so I'll be using bullet points instead.

1. ∠CAD ≅ ∠DAB Bisecting an angle divides it into to equal parts
2. △CAD is an isosceles triangle Given CA and CD are equal
3. ∠CAD ≅ ∠CDA Base angles of an isosceles triangle are equal
4. ∠CDA ≅ ∠DAB Transitive property
5. CD||AB ∠CDA and ∠DAB are alternate interior angles, so CD and AB are parallel