Label the midpoint of PQ as point S, the midpoint of QR as point T, and the midpoint of RP as point U.

Next, draw PT, QU, and RS.

Which statements are true?

The sum of the lengths of QU and RS is equal to the length of PT.
The length of QU is half the length of RP.
QU ≅ RS
m∠Q = m∠R
PT, QU, and RS intersect at the same point.
m∠P + m∠Q + m∠R = 180°