Question

ab = 2x - 4 given ab = bc given bc = 16 given segment congruence postulate 2x - 4 = 16 substitution property of equality 2x = 20 addition property of equality x = 10 division property of equality which statement best represents the information that should be in the box labeled 1? ab ≅ ca ab = bc ab = ca bc ≅ ca

Explanation:

We know that $AB = BC$ is given. The segment - congruence postulate is used when we have congruent segments. Since $AB = BC$ is given and we are using the segment - congruence postulate to get to the next step where we substitute values, the information in box 1 should be $AB=BC$ (because the postulate is applied based on the given congruence of the segments).

Answer:

$AB = BC$