What are the coordinates of the endpoints of the midsegment for △LMN that is parallel to LN¯¯¯¯¯ ?Enter your answers, as a decimal or whole number, in the boxes.(, ) and (, )A triangle L M N is graphed on a coordinate plane. The horizontal x-axis ranges from 0 to 7 in increments of 1. The vertical y-axis ranges from 0 to 6 in increments of 1. The vertex labeled as l lies at begin ordered pair 0 comma 5 end ordered pair. The vertex labeled as M lies at begin ordered pair 6 comma 4 end ordered pair. The vertex labeled as N lies at begin ordered pair 0 comma 2 end ordered pair.
Accepted Solution
A:
(3, 4.5) and (3, 3)
The midsegment of a triangle is a line connecting the midpoints of two sides of the triangle. So a triangle has 3 midsegments. Since you want the midsegment that's parallel to LN, we need to select the midpoints of LM and MN. The midpoint of a line segment is simply the average of the coordinates of each end point of the line segment. So: