Question

Give justification for the following statement: JC = BC.

A) JC and BC are equal in length and shape.
B) The line segments JC and BC are congruent.
C) JC is parallel to BC and they have the same length.
D) JC and BC represent the same quantity in different units.

Answer 1

The correct justification for the statement 'JC = BC' is that the line segments JC and BC are congruent, as they are equal in length and shape, which is option B.

Step-by-step explanation:

The justification for the statement JC = BC must involve determining the relationship between the line segments JC and BC. Considering congruence, which refers to the fact that two shapes or segments are exactly the same in shape and size, it is most likely that the correct answer is option B) The line segments JC and BC are congruent. To declare JC and BC congruent, they have to be equal in length and also identical in geometric form, which aligns with the definition of congruence in geometry.

Option A suggests that JC and BC are equal in length and shape which is a repetition of option B's description of congruence. Option C is incorrect because it unnecessarily includes the concept of parallelism which relates to direction rather than size or shape. Option D is incorrect as it suggests that JC and BC are different representations of the same quantity in different units, which does not align with the context that they are line segments which have dimensions purely in terms of length.