oint P is the incenter of ΔRST.

Point P is the incenter of triangle R S T. Lines are drawn from each point of the triangle to point P. Lines are drawn from point P to the sides of the triangle to form right angles and line segments P A, P B, and P C. The triangle has different angle measures.
Which must be true?

Line segment C P is-congruent-to line segment R P
Line segment B P is-congruent-to line segment P C
AnglePSC Is-congruent-to AnglePTC
AngleBPS Is-congruent-to AngleAPT