Question

complete the proof using the correct reason. (1) congruent segments, (2) given, (3) congruent angles, (4) symmetric, (5) reflexive given: $overline{ab}congoverline{cd}$ prove: $overline{cd}congoverline{ab}$ statements reasons $overline{ab}congoverline{cd}$ 7. ____________ $ab = cd$ 8. __________ $cd = ab$ 9. ____________ $overline{cd}congoverline{ab}$ definition of congruent segments

Explanation:

Step1: Given information

Given

Step2: Definition of congruent segments

Definition of congruent segments (two - segments are congruent if they have the same length)

Step3: Symmetric property of equality

Symmetric property of equality (if \(a = b\), then \(b=a\))

Answer:

1. Given
2. Definition of congruent segments
3. Symmetric property of equality