Two line segments AB and CD

Two line segments AB and CD bisect each other at O. Prove that :
(i) AC = BD
(ii) ∠CAB = ∠ABD
(iii) AD || CB
(iv) AD = CB.

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.