Question

In the diagram, KL ≅ NR and JL ≅ MR. What additional information is needed to show ΔJKL ≅ ΔMNR by SAS?

∠J ≅ ∠M
∠L ≅ ∠R
∠K ≅ ∠N
∠R ≅ ∠K

Answer 1

∠L ≅ ∠R

Reason: The given equal sides are JL ≅ MR and KL ≅ NR. Those sides meet at L in ΔJKL and at R in ΔMNR, so the included angles are ∠L and ∠R. If ∠L ≅ ∠R, then by SAS ΔJKL ≅ ΔMNR.