Question

9/30/25, 7:19 am writing proofs involving segment congruence view answer choices step reason 1. $overline{cd}congoverline{gf}$, $overline{ab}congoverline{eg}$ given 2. __________, __________ definition of congruent segments 3. $eg + gf = ef$ segment addition postulate 4. $ab + cd = ef$ substitution property of equality q.e.d. 13. the figure below shows segments $overline{ac}$ and $overline{de}$ and point $b$ lies on $overline{ac}$. determine the appropriate reason for the statement in step 2.

Explanation:

Step1: Recall definition of congruent segments

Congruent segments have equal lengths. If $\overline{CD}\cong\overline{GF}$ and $\overline{AB}\cong\overline{EG}$, then $CD = GF$ and $AB=EG$.

Answer:

$CD = GF$, $AB = EG$