Question

Which of the following must be true to prove abc = def by the aas the theorem

Answer 1

Theorem is adding up plus abc

Answer 2

A statement that must be true to prove ΔABC ≅ ΔDEF by the AAS theorem is: B. ∠B ≅ ∠E.

In Mathematics and Euclidean Geometry, AAS is an abbreviation for Angle-Angle-Side and it states that when two (2) angles and the non-included side (adjacent to only one of the angles) in two triangles are all equal, then the triangles are said to be congruent.

Based on the angle, angle, side (AAS) congruence theorem, we can logically deduce that triangle ABC and triangle DEF are both congruent based on the following statements;

∠A ≅ ∠D.

∠B ≅ ∠E.

AC = DF

ΔABC ≅ ΔDEF

Complete Question:

Which of the following must be true to prove ΔABC ≅ ΔDEF by the AAS theorem?

A. C∠≅∠F

B. ∠B≅∠E

C. ∠E≅∠F

D.∠B≅∠C