Question

ABCD is a quadrilateral in which AP and CQ are perpendicular to diagonal BD and AP = CQ. Prove that BD bisects AC.
Don't spam. Tomorrow is my maths exam.
my snap Id itzcutiepie1314 text me​

Answer 1

Answer:

Question:--

ABCD is a quadrilateral in which AP and CQ are perpendicular to diagonal BD and AP = CQ. Prove that BD bisects AC.

Answer :---

Name the point as F as shown in figure.

Now ,

in triangle APF and CQF :-

AP = CQ { given }

Angle P = Angle Q { each 90°}

Angle F = Angle F { Vertically opposite

angle }

So , by AAS [ angle angle side ] criteria triangle APF and triangle CQF are congruent to each

other.

Therefore,

AF = CF by CPCT . { corresponding parts of

congruent triangle}

Hence , as AF = CF , BD bisects AC.

Sorry !!