M and N are the midpoints ofandrespectively.

Using graph paper, repeat this process from the last problem using different coordinates for P, Q, and R. How do these lengths MN and PQ compare now? What do you think you can conclude about the lengths of these segments? (In your answer, make sure to include your coordinates for all points, the lengths of the segments, and your conclusion.)

M and N are the midpoints ofandrespectively.

Of what and what respectively ?????

M and N are the midpoints of PR(which has a line over PR) and QR(which has a line over QR)respectively. Using graph paper, repeat this process from the last problem using different coordinates for P, Q, and R. How do these lengths MN and PQ compare now? What do you think you can conclude about the lengths of these segments? (In your answer, make sure to include your coordinates for all points, the lengths of the segments, and your conclusion.) I sent the prior question to this question but I haven't received any response yet. I'm going to re-evalute the 1st part of the question. Thank you Daman

M and N are the midpoints of PR(which has a line over PR) and QR(which has a line over QR)respectively. Using graph paper, repeat this process from the last problem using different coordinates for P, Q, and R. How do these lengths MN and PQ compare now? What do you think you can conclude about the lengths of these segments? (In your answer, make sure to include your coordinates for all points, the lengths of the segments, and your conclusion.) I sent the prior question to this question but I haven't received any response yet. I'm going to re-evalute the 1st part of the question. Thank you Daman

To compare the lengths of MN and PQ, we need to understand the process of finding the coordinates of the midpoints and then calculate the lengths of the segments.

1. Let's assume the coordinates of point P to be (x1, y1), point Q to be (x2, y2), and point R to be (x3, y3).

2. To find the midpoint M, we add the x-coordinates and divide by 2, and add the y-coordinates and divide by 2. In formula form:
M = ((x1 + x2) / 2, (y1 + y2) / 2)

3. Similarly, to find the midpoint N, we add the x-coordinates of Q and R and divide by 2, and add the y-coordinates of Q and R and divide by 2. In formula form:
N = ((x2 + x3) / 2, (y2 + y3) / 2)

4. Once we have the coordinates of M and N, we can calculate the length of segment MN using the distance formula. The distance formula is given by:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

5. Similarly, we can calculate the length of segment PQ using the distance formula.
d = sqrt((x3 - x1)^2 + (y3 - y1)^2)

6. Finally, we can compare the lengths of MN and PQ and draw conclusions about their relationship.

Now, it's your turn to choose different coordinates for P, Q, and R and apply the above steps to calculate the lengths of MN and PQ. Once you have the lengths, you can draw conclusions based on their comparison.