Question

If ML and MK are midsegments of HIJ, what can you conclude about jl and lh? Verify your results by finding x when JL = 5x – 7 and LH = 2x + 5.

Answer 1

The answer is B. JL= LH x=4

Answer 2

Let M be a middlepoint of HI and L be a middlepoint of HJ (because ML is a midsegment of HIJ). Since L is a middlepoint of HJ, you have that JL=HL.
If JL = 5x – 7 and LH = 2x + 5, then

5x-7=2x+5

5x-2x=5+7

3x=12

x=4.

When L is a middlepoint of another triangle side, you can say nothing about JL and LH.