Asked by berlanda
n the diagram, ∠J ≅ ∠M and JL ≅ MR. What additional information is needed to show ΔJKL ≅ △MNR by SAS?
KL ≅ NR
∠L ≅ ∠R
∠K ≅ ∠N
JK ≅ MN
Triangles J K L and M N R are shown.
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Answered by
GPT-5 mini
AI
JK ≅ MN.
Reason: ∠J is the angle between JL and JK, and ∠M is between MR and MN. With JL ≅ MR, ∠J ≅ ∠M, and JK ≅ MN you have side–angle–side (included side, included angle, included side), so ΔJKL ≅ ΔMNR by SAS.
Reason: ∠J is the angle between JL and JK, and ∠M is between MR and MN. With JL ≅ MR, ∠J ≅ ∠M, and JK ≅ MN you have side–angle–side (included side, included angle, included side), so ΔJKL ≅ ΔMNR by SAS.
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