The problem asks to find the endpoints of the midsegment of trapezoid $ABCD$, where $AD$ is parallel to $BC$. We are asked to enter the coordinates in ascending order.

1. Problem Description

The problem asks to find the endpoints of the midsegment of trapezoid $ABCD$, where $AD$ is parallel to $BC$. We are asked to enter the coordinates in ascending order.

2. Solution Steps

The midsegment of a trapezoid connects the midpoints of the two non-parallel sides. In this case, the non-parallel sides are $AB$ and $CD$. Let's first find the coordinates of the vertices $A$, $B$, $C$, and $D$ from the graph.

$A = (3, 4)$

$B = (-1, 2)$

$C = (0, -1)$

$D = (4, 1)$

To find the midpoint of $AB$, we use the midpoint formula:

$M_{AB} = (\frac{x_A + x_B}{2}, \frac{y_A + y_B}{2})$

$M_{AB} = (\frac{3 + (-1)}{2}, \frac{4 + 2}{2}) = (\frac{2}{2}, \frac{6}{2}) = (1, 3)$

To find the midpoint of $CD$, we use the midpoint formula:

$M_{CD} = (\frac{x_C + x_D}{2}, \frac{y_C + y_D}{2})$

$M_{CD} = (\frac{0 + 4}{2}, \frac{-1 + 1}{2}) = (\frac{4}{2}, \frac{0}{2}) = (2, 0)$

The endpoints of the midsegment are $(1, 3)$ and $(2, 0)$. We need to write the coordinates in ascending order. Ascending order means smallest to largest. Comparing the x-coordinates first, we have $1 < 2$, so $(1, 3)$ comes before $(2, 0)$. However, if we are ordering the coordinates of each point, the question may be ordering the coordinates for *each* point, in which case we should list the x coordinate before the y coordinate in each point. The problem specifies that the coordinates are to be entered in ascending order, and refers to "the coordinates" suggesting this refers to the y-values 0 and

3. Given the possible ambiguity, let's list both midpoints.

3. Final Answer

(1, 3) and (2, 0)