By applying the triangle midpoint theorem to the two triangles (see attachment), the correct statements are:
A. One-halfQP = UT
D. SU ∥ RP
What is triangle midpoint theorem?
Triangle midpoint theorem states that the line segment which connects the midpoints of two (2) sides of a triangle must be parallel to the third side, and it's congruent to one-half of the third side.
By applying the triangle midpoint theorem to the two triangles (see attachment), we can infer and logically deduce that one-half of side QP is equal to side UT and side SU is parallel to side RP (SU ∥ RP).
Read more on triangle midpoint theorem here: https://brainly.com/question/12234706
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Complete Question:
Points S, U, and T are the midpoints of the sides of ΔPQR. ΔSUT is inside of ΔPQR. Points S, U, and T are the midpoints of ΔPQR. Which statements are correct? Check all that apply.
A. One-half QP = UT
B. One-half TS = RQ
C. SU = PR
D. SU ∥ RP
E. UT ⊥ RP
