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PLEASE HEP ASAP IM LOST,, Which statements could be used to prove that ΔABC and ΔA′B′C′ are congruent?
A.) ∠A≅∠A′, AC≅A′C′, and BC≅B′C′
B.) AB≅A′B′, BC≅B′C′, and ∠A≅∠A′
C.) ∠A≅∠A′, ∠B≅∠B′, and ∠C≅∠C′
D.) AB≅A′B′, ∠A≅∠A′, and ∠C≅∠C′

Respuesta :

sqdancefan

Answer:

  D.)  AB≅A′B′, ∠A≅∠A′, and ∠C≅∠C′

Step-by-step explanation:

Option A identifies two sides and the angle not between them. The two triangles will be congruent in that case only if the angle is opposite the longest side, which is not true in general.

Option B: same deal as Option A.

Option C identifies three congruent angles, which will prove the triangles similar, but not necessarily congruent.

Option D identifies two angles (sufficient for similarity) and one side, sufficient (with similarity) for congruence. The applicable congruence theorem is AAS.