Solve this question with Statements and reasoning.

Here
[tex]\\ \sf\longmapsto PD\cong PC[/tex]
As
P is the midpoint of AC and BD
[tex]\\ \sf\longmapsto AC=BD[/tex]
[tex]\\ \sf\longmapsto AP+PC=PD+BP[/tex]
[tex]\\ \sf\longmapsto AP+PC=PC+PB[/tex]
[tex]\\ \sf\longmapsto AP=BP[/tex](Proved)