Question 388769
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Hi,         
<img src="http://upload.wikimedia.org/wikipedia/commons/thumb/b/b5/Rhombus.svg/200px-Rhombus.svg.png ">
using Picture on the left for illustration purposes:
Proving that the diagonals of a rhombus ABCD bisect the angles of the rhombus.

ABCD is a rhombus            |given
sides AB = BC = CD = DA      |Definition of a Rhombus
side AC = AC                 |Reflexive Property of congruence
&#916;ADC &#8773; &#916;ABC                 |SSS Postulate
&#8736;DAC = &#8736;BAC                |CPCTC
&#8736;DCA = &#8736;BCA                |CPCTC 

Note: CPCTC: "Corresponding parts of congruent triangles are congruent"