What additional information could be used to prove δefg δe'f'g' using aas? check all that apply. eg = 12 and e'g' = 12 fg = 15 and f'g' = 15 ef = 10 and e'f'= 12 m∠g = 42° and m∠g' = 42° eg ≅ e'g

By definition, congruent triangles should have all the corresponding sides and all the corresponding angles equal or congruent to each other. Thus, in the given question, all corresponding sides and angles of ΔEFG and ΔE'F'G' should be congruent. But, as we can see clearly it is given that, EF = 10 and E'F'= 12, thus, the corresponding sides EF and E'F' are not equal. Thus, we can never prove that:

Thus,

For the AAS theorem, when two angle and one side of the triangle, equal to the two angles and same side of the other for congruent triangle . There is A, B and option C can be used to prove the triangle congurent with SAS rule but not with AAS rule.

Two triangle are congruent when the shape and size of both the triangle are same.

Triangle congruence theorem are-

Given information-

In the given ΔEFG  and ΔE'F'G' should be congruent by the AAS as,

For the AAS, two triangle is congruent when two angle and one side of the triangle are respectively equal to the two angles and same side of the other triangle.

Therefore the two sides and one angle must be equal to prove two triangle congruent.

In the given options two sides given equal which are,

One angle is equal in the given options which is,

Here two sides and one angle is equal instead of two angles and one side from the given option. Thus the two triangle  ΔEFG and ΔE'F'G' are congurent by SAS rule and not by the AAS rule.

Learn more about the triangle congruence theorem here;

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the correct answer is the second option