Prove that AC bisects BD.

In the given figure, BM and DN are perpendiculars to the line segment AC. If BM = DN, prove that AC bisects BD.

Solution:

More Solutions:

• Show that ∆ABC ≅ ∆CDA.
• Show that O is the mid-point.
• ∠BCD = ∠ADC and ∠BCA = ∠ADB.
• ∠ABC = ∠ACB, D and E are points
• ABC is an isosceles triangle with AB=AC.
• Such that BA = DE and BF = EC.
• ABCD is a rectangle. X and Y are points.
• QX, RX are bisectors of angles.
• In each of the following diagrams.