Final answer:
The correct statements are 1/2QP=UT and SU||RP.
Step-by-step explanation:
In this question, we are given that points S, U, and T are the midpoints of the sides of triangle PQR. We need to determine which statements are correct.
- 1/2QP=UT: This statement is correct. Since S, U, and T are midpoints, we know that SU is parallel to PQ and UT is parallel to QR. Therefore, by the Midpoint Theorem, we have 1/2QP = UT.
- SU=PR: This statement is incorrect. Since S and U are midpoints, we know that SU is parallel to QR, not PR.
- SU||RP: This statement is correct. Since S and U are midpoints, we know that SU is parallel to QR. Therefore, SU is also parallel to RP.
- UT=RP: This statement is incorrect. Since U and T are midpoints, we know that UT is parallel to PQ, not RP.