se the choices below to complete the proof.

Question

Given: a⊥d , a⊥c
Prove: d∥c

Answer 1

Proof:
1. Given: a⊥d , a⊥c
2. Since a is perpendicular to d, then a and d form a right angle.
3. Since a is perpendicular to c, then a and c form a right angle.
4. If two lines form a right angle with the same line, then they are parallel to each other.
5. Therefore, d∥c.