Answer:
C. DF≅DF ; Reflexive property
Step-by-step explanation:
Here we are required to prove that the two triangles are congruent
i.e. ΔEFD≅ΔGFD
There are four ways namely
Congruence Tests for Triangles namely SSS, SAS, ASA, AAS . Here in this case from statement 5 we can see that AAS test has been used to prove the congruence of two triangles.
In statement 2 and 4 we have shown the two consecutive angles ∠E and
∠ DFE are PROVED equal to each other with ∠G and ∠DFG respectively.
Thus we are supposed to show the side immediately next to ∠DFE equal to corresponding side immediately next to ∠DFG each other. Here in this case we do not have two different side but the same side DF.
DF ≅ DF
Hence now we apply the test AAS and prove that the two triangles ΔEFD≅ΔGFD are congruent.
