2 Answers: Choice A and choice C
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Explanation:
AB = BC refers to the fact that expressions 2x+7 and 4x-3 are equivalent. They represent numbers when we replace x with some number. So after doing that replacement, we have something in the form number = number.
So this is why choice A is one of the answers.
[tex]\overline{AB} \cong \overline{BC}[/tex] says "segment AB is congruent to segment BC". The horizontal lines over the lettering indicates we have a segment. The equal sign with a squiggle over top is the congruence symbol. In geometry, we say two items are congruent if they are the same. You can think of making a clone of the object and then sliding it over. In this case, we've cloned segment AB to form segment BC.
This is why choice C is the other answer.
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Choices B and D are close, but not quite correct. Choice B is missing the segment markers. Choice D is missing the congruence symbol. Congruence and equality are very similar ideas, so often they get mixed up.
