Question

which additional statements are required to prove triangle abc ≅ triangle lkm using the sas postulate, if ∠l ≅ ∠a? select all that apply. * (10 points) please select 2 options. ∠b ≅ ∠k ∠c ≅ ∠m ab ≅ lk bc ≅ km ac ≅ lm

Explanation:

Step1: Recall the SAS (Side - Angle - Side) postulate

The SAS postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent. We know that \(\angle L\cong\angle A\).

Step2: Identify the sides

For \(\triangle ABC\) and \(\triangle LKM\), if \(AB\cong LK\) (one side) and \(AC\cong LM\) (another side) along with \(\angle L\cong\angle A\) (the included angle), then by the SAS postulate \(\triangle ABC\cong\triangle LKM\)

Answer:

AC ≅ LM, AB ≅ LK