Question

ABCD is a rhombus .Are triangle ADC and triangle ABC congruent? What can you say ​

Answer 1

Answer:

yes they are congruent by sas

Answer 2

Answer:

Both the triangles formed

Triangle ABC and Triangle ADC will be congruent

By SAS test both the triangle will have the common side (diagonal) AC.

As ABCD is a rhombus

Then;

Side AB= Side BC= Side CD= Side DA

Hence, angle ABC= angle ADC

Hence both the triangle will be congruent by SAS test of congruence.