Question

1. which reason justifies the last step in a proof that △fdg≅△adc? given: ad = ed, d is the mid - point of cg. cpctc aas theorem asa postulate sas postulate

Explanation:

CPCTC (Corresponding Parts of Congruent Triangles are Congruent) is used after proving two triangles are congruent to show that specific corresponding parts are congruent. Here we first need to prove $\triangle FDG\cong\triangle ADC$. Given $AD = ED$ and $D$ is the mid - point of $CG$ gives us side - side information. If we can show an angle between the sides is equal (SAS), we prove the triangles congruent. Once congruent, to state equality of corresponding parts, we use CPCTC. AAS, ASA, and SAS are used to prove the triangles congruent, not for the last step of stating corresponding parts are equal.

Answer:

CPCTC