Question

which statements about triangle jkl are true? select two options. m is the midpoint of line segment kj. n is the midpoint of line segment jl. mn = \\( \frac { 1 } { 2 } kj \\) mn = 4.4m mn = ml

Explanation:

Step1: Check mid - point definitions

Since \(KM = ML=5.9\) m, \(M\) is the mid - point of \(KL\), not \(KJ\). Since \(JN = NL = 3.7\) m, \(N\) is the mid - point of \(JL\).

Step2: Use the mid - segment theorem

By the mid - segment theorem in a triangle (a segment connecting the mid - points of two sides of a triangle is parallel to the third side and half its length). Here, \(M\) is the mid - point of \(KL\) and \(N\) is the mid - point of \(JL\), so \(MN=\frac{1}{2}KJ\). \(KJ = 12.8\) m, then \(MN=\frac{1}{2}\times12.8 = 6.4\) m. \(ML = 5.9\) m and \(MN=6.4\) m, so \(MN
eq ML\)

Answer:

B. \(N\) is the midpoint of line segment \(JL\); C. \(MN=\frac{1}{2}KJ\)