Final answer:
The equivalent statement to 'Line segment KL is congruent to line segment MN' is 'KL = MN', which means the lengths of the two line segments are equal. This corresponds to Option B in the provided choices.
Step-by-step explanation:
The given statement states that 'Line segment KL is congruent to line segment MN'. To express this in an equivalent statement, we need to look at the symbols provided in the options and determine their meanings:
- Option A: KL ≈ MN - This typically means KL is approximately equal to MN, which is not the correct notation for congruence.
- Option B: KL = MN - This expresses that the length of line segment KL is equal to the length of line segment MN, which is the correct expression for line segments' congruence.
- Option C: KL ∼ MN - This symbol suggests similarity, which refers to the same shape but not necessarily the same size, hence not appropriate for congruence.
- Option D: KL ∈ MN - This suggests that KL is an element of MN, which does not make sense in the context of line segments.
Therefore, the equivalent statement to 'Line segment KL is congruent to line segment MN' is 'KL = MN', corresponding to Option B.