Question

Jana knows that in ∆LET and ∆PVC, ET ≅ VC, ∠L ≅ ∠P and ∠E ≅ ∠V. Which congruence postulate or theorem can be used to prove that the two triangles are congruent? *

1 point
SAS Congruence Postulate
ASA Congruence Postulate
SSS Congruence Postulate
SAA Theorem

Answer 1

SAA theorem

Explanation:

The given data with regards to ΔLET and ΔPVC are;

ET ≅ VC

∠L ≅ ∠P

∠E ≅ ∠V

From the given relationship, we have that two angles and the adjacent (nonincluded) side to the two angles in ΔLET are congruent to the corresponding two angles and adjacent (nonincluded) side of ΔPVC

Therefore, the congruence theorem that can be used to prove that the two triangles are congruent is the Side-Angle-Angle (SAA) congruency theorem

The SAA congruency theorem states that, two triangles that have two angles and a nonincluded side on one triangle being congruent to the corresponding two angles and a non included side on the other triangle, then the two triangles are congruent.