If ΔABC ΔDEF by side-side-side triangle congruence, then ∠B ∠E by ___________%0D%0A(1 point)%0D%0AResponses%0D%0A%0D%0Aside-angle-side congruence.%0D%0Aside-angle-side congruence.%0D%0A%0D%0Aangle-angle-side congruence.%0D%0Aangle-angle-side congruence.%0D%0A%0D%0Acorresponding parts congruence.%0D%0Acorresponding parts congruence.%0D%0A%0D%0Acorresponding parts of congruent triangles are congruent.
corresponding parts of congruent triangles are congruent.
how do you know>?
We know that corresponding parts of congruent triangles are congruent based on the Side-Angle-Side (SAS) congruence theorem. According to this theorem, if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent. When two triangles are congruent, all corresponding parts, including angles, are also congruent. Therefore, if ΔABC ≅ ΔDEF by side-side-side congruence, then ∠B ≅ ∠E.
