Question

30 points and Brainliest!

Answer 1

Answer:

LF = PF                   given

ΔLFP is isosceles   definition of isosceles triangle

∠FLP = ∠FPL          isosceles triangle theorem: if two sides of a triangle are

                               congruent, then angles opposite those sides are

                               congruent.

LP = PL                    reflexive property

∠PDL = ∠LKP          Perpendicular lines postulate (perpendicular lines form 90

                                degree angles)

ΔPDL ≅ ΔLKP         AAS

LK = PD                    corresponding parts of congruent triangles are congruent