Prove that the diagonals of the square bisect the interior angles.

Question

anonymous · Answer

attachment

campbell_st · Answer

prove congruency

look at triangles PSR and triangle PQR
                              PS = QR       (opposite sides of a square are equal)
                              SR = PQ       ( opposite sides of a square are equal)
                                 PR              (common side)

therefore triangle PSR is congruent to PQR by Side, Side Side test. 

then angle SPR = QPR  (corresponding angles in congruent triangles are equal) 

then PR bisects angle SPQ.... 

you can use the same reasoning for angle SRQ

not sure if you have to repeat the proof by congrency for triangles SPQ and QRS