Question

which of the following correctly justifies statement 4 of the two - column proof? given: jk||lm prove: ∠1≅∠8 statement justification 1. jk||lm 1. given 2. ∠1≅∠4 2. 3. ∠4≅∠8 3. 4. ∠1≅∠8 4. transitive property of equality corresponding angles theorem vertical angles theorem substitution property of equality

Explanation:

Step1: Analyze given equal - angle statements

We are given ∠1≅∠4 and ∠4≅∠8.

Step2: Recall transitive property concept

The transitive property of equality for angles states that if ∠a≅∠b and ∠b≅∠c, then ∠a≅∠c. Here, a = 1, b = 4, c = 8.

Answer:

Transitive Property of Equality