Triangle Midsegment Theorem 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 ( , )
Accepted Solution
A:
A midsegment of a triangle is a segment that connects the midpoints of two sides of a triangle. The midsegment of the triangle parallel to side LN is the midsegment connecting the midpoint of side LM and the midpoint of side MN.
From the given figure, the midpoint of side LM is given by [tex]\left( \frac{0+6}{2} ,\, \frac{5+4}{2} \right)=(3,\, 4.5)[/tex]
Also, the midpoint of the side MN is given by [tex]\left( \frac{0+6}{2} ,\, \frac{2+4}{2} \right)=(3,\, 3)[/tex]
Therefore, the coordinates of the endpoints of the midsegment for △LMN that is parallel to side LN are: (3, 4.5) and (3, 3).