Respuesta :

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]

  • Put PD=PC

[tex]\\ \sf\longmapsto AP+PC=PC+PB[/tex]

  • Cancel PC

[tex]\\ \sf\longmapsto AP=BP[/tex](Proved)

good job