SOLUTION: How to write a two column proof to show that the diagonals of a rhombus bisect the angles of the rhombus.

Question 388769: How to write a two column proof to show that the diagonals of a rhombus bisect the angles of the rhombus.
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!



Hi,         



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

ΔADC ≅ ΔABC                 |SSS Postulate

∠DAC = ∠BAC                |CPCTC

∠DCA = ∠BCA                |CPCTC 



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

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