Answer:
<h2>(4,2) and (8,2)</h2>
Step-by-step explanation:
Using the image attached, you can observe that the midsegment parallel to BC has to be placed from the AB midpoint to the AC midpoint.
To find a midpoint we need to use the following formula:
Where represents the coordinates of point A and represents the coordinates of B.
From the image you can see that coordinates are and , using the formula, we have
This means that the beginning of the midsegment is at
Now, we do the same process to find the end point of the midsegment. The points that we are gonna use this time are and . Using the formula we have
Therefore, the endpoints of the midsegment for △ABC that is parallel to BC are at (4,2) and (8,2)