Question

What are the coordinates of the endpoints of the midsegment for △LMN that is parallel to LN¯¯¯¯¯ ?
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Answer 1

The coordinates of the endpoints of the midsegment for △LMN that is parallel to LN are (3, 4.5) and (3, 3).

Explanation:

Given that △LMN

We need to determine the coordinates of the endpoints of the midsegment for △LMN that is parallel to LN

The midsegment of the triangle parallel to side LN is the midsegment connecting the midpoint of side LM and the midpoint of side MN.

The midpoint of LM is given by

$\left(\frac{0+6}{2}, \frac{5+4}{2}\right)$

Simplifying, we get,

$(\frac{3}{2}, \frac{9}{2} )=(3,4.5)$

The midpoint of MN is given by

$\left(\frac{0+6}{2}, \frac{2+1}{2}\right)=(3,3)$

Thus, the coordinates of the endpoints of the midsegment for △LMN that is parallel to LN are (3, 4.5) and (3, 3).