Final answer:
Segment UV in triangle XYZ is 5 units long as U and V are midpoints, while segment ST in triangle PQR is 7.5 units long since S and T are midpoints. Thus, segments UV and ST are not congruent.
Step-by-step explanation:
In triangle XYZ, point U is the midpoint of side XY, and point V is the midpoint of side XZ. Similarly, in triangle PQR, point S is the midpoint of side PQ, and point T is the midpoint of side PR.
Given that the length of segment XY is 10 units and the length of segment PQ is 15 units, we are asked to find the lengths of segments UV and ST and determine whether they are congruent.
Since U and V are midpoints of their respective sides, segment UV will be half the length of XY, which is 10 units.
Hence, the length of UV is 5 units.
In the same way, since S and T are midpoints of their respective sides, segment ST will be half the length of PQ, which is 15 units. Therefore, the length of ST is 7.5 units.
As we can see, the lengths of segments UV and ST are 5 units and 7.5 units respectively, which means they are not congruent.
In triangle XYZ, point U is the midpoint of side XY, and point V is the midpoint of side XZ. Similarly, in triangle PQR, point S is the midpoint of side PQ, and point T is the midpoint of side PR. If the length of segment XY is 10 units and the length of segment PQ is 15 units. Find the lengths of segment UV and segment ST and determine whether they are congruent.