Question

If JK=LM, then line JK≅ line LM. Choose the definition, theorem, or postulate that justifies the statement.

A. Subtraction Property of Equality

B. Definition of Midpoint

C. Segment Addition Postulate

D. Symmetric Property (of= or≅)

Answer 1

The justification for stating that line segments JK and LM are congruent when JK equals LM is the Symmetric Property, which allows one to be substituted for the other in any statement if they are equal.

Step-by-step explanation:

If JK = LM, then line JK is congruent to line LM.

The statement that justifies this is D. Symmetric Property (of = or ≅). This property states that if two things are equal, then one can be substituted for the other in any statement without changing the truth of the statement.

In this case, because we're told that the lengths of the segments are equal (JK = LM), by the Symmetric Property, we can say the segments themselves (line JK and line LM) are congruent (JK ≅ LM).