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.

(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:

   Midpoint LM:

   ((0+6)/2, (5+4)/2) = (6/2, 9/2) = (3, 4.5)

       Midpoint MN:

   ((6+0)/2, (4+2)/2) = (6/2, 6/2) = (3, 3)

       So the desired end points are (3, 4.5) and (3, 3)

Step-by-step explanation:

(a)

ca/pq is 21/28 which is 3/4

ab/qr is 24/32 which is 3/4

cb/pr is 12/16 which is 3/4

(b)

angle p is about angle c

angle q is about angle a

angle r is about angle b

(c)

Triangle PQR and Triangle CAB are similar