Given points M(1,2), N(4,4), P(5,−1), J(−7,−1), K(−1,3), and L(1,−7), which of the following proves that △MNP≈△JKL? By the Distance Formula, MN=13, NP=26, and PM=25.Also, JK=52, KL=104, and LJ=100.Therefore, MNJK=NPKL=PMLJ=14, andtherefore, △MNP∼△JKL by SSS ∼.

By the Distance Formula, MN=13, NP=26, and PM=25.Also, JK=52, KL=104, and LJ=100.Therefore, MNJK=NPKL=PMLJ=14, andtherefore, △MNP∼△JKL by SAS ∼.

By the Distance Formula, MN=13−−√, NP=26−−√, and PM=5.Also, JK=213−−√, KL=226−−√, and LJ=10.Therefore, MNJK=NPKL=PMLJ=12, andtherefore, △MNP∼△JKL by SSS ∼.

By the Distance Formula, MN=13−−√, NP=26−−√, and PM=5.Also, JK=213−−√, KL=226−−√, and LJ=10.Therefore, MNJK=NPKL=PMLJ=12, andtherefore, △MNP∼△JKL by SAS ∼.