Question

view answer choices step reason 1. m is the midpoint kp. l is the midpoint km. given 2. km ≅ mp kl ≅ lm definition of midpoint 3. km = mp kl = lm definition of congruent segments 4. kl + lm = km 5. kl + lm = mp substitution property of equality q.e.d. 6. consider the segment shown below such that x is the midpoint of vy and y is the midpoint of xz. find the missing statements in the proof given.

Explanation:

Step1: Recall segment - addition postulate

The segment - addition postulate states that if we have three collinear points \(A\), \(B\), and \(C\), then \(AB + BC=AC\). In the case of points \(K\), \(L\), and \(M\) where \(L\) is between \(K\) and \(M\), we have \(KL + LM = KM\).

Answer:

Segment - addition postulate