in the diagram, ∠j ≅ ∠m and jl ≅ mr. what additional information is needed to show △jkl ≅ △mnr by sas?\n○ kl…

in the diagram, ∠j ≅ ∠m and jl ≅ mr. what additional information is needed to show △jkl ≅ △mnr by sas?\n○ kl ≅ nr\n○ ∠l ≅ ∠r\n○ ∠k ≅ ∠n\n○ jk ≅ mn

in the diagram, ∠j ≅ ∠m and jl ≅ mr. what additional information is needed to show △jkl ≅ △mnr by sas?\n○ kl ≅ nr\n○ ∠l ≅ ∠r\n○ ∠k ≅ ∠n\n○ jk ≅ mn

Answer

Explanation:

Step1: Recall SAS congruence criterion

The Side - Angle - Side (SAS) congruence criterion 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 J\cong\angle M) and (\overline{JL}\cong\overline{MR}). The included angle (\angle J) has sides (\overline{JL}) and (\overline{JK}), and the included angle (\angle M) has sides (\overline{MR}) and (\overline{MN}).

Step2: Identify the required side

To use SAS, we need the side adjacent to the given equal angles to be congruent. So we need (\overline{JK}\cong\overline{MN}).

Answer:

D. (\overline{JK}\cong\overline{MN})