A property that correctly justifies statement 4 of the two-column proof is: B. Transitive Property of Equality.
What is the transitive property of equality?
The transitive property of equality states that assuming x, y, and z are three (3) quantities, and if x is equal to y (x = y) based on a rule and y is equal to z (y = z) by the same rule, then, x and z (x = y) are equal to each other by the same rule.
By applying the transitive property of equality to these parallel lines, we have the following:
JK || LM
∠6 ≅ ∠7
∠2 ≅ ∠6
∠2 ≅ ∠7 (transitive property of equality)
In conclusion, we can reasonably infer and logically deduce that angle 2 (∠2) and angle 7 (∠7) are congruent based on the transitive property of equality.
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