Given points M(−5,5), R(−2,6), I(−2,4), B(2,−2), A(8,0), and G(8,−4), which of the following proves that △MRI~△BAG?
1: By the Distance Formula,MR=10−−√, RI=2, and IM=10−−√.Also, BA=210−−√, AG=4, and GB=210−−√.Therefore, MRBA=RIAG=IMGB=10√210√=12,and therefore, △MRI∼△BAG by SAS ∼.
2: By the Distance Formula,MR=10−−√, RI=2, and IM=10−−√.Also, BA=210−−√, AG=4, and GB=210−−√.Therefore, MRBA=RIAG=IMGB=10√210√=12,and therefore, △MRI~△BAG by SSS ~.
3: By the Distance Formula,MR=2, RI=10, and IM=10.Also, BA=8, AG=40, and GB=40.Therefore, MRBA=RIAG=IMGB=1040=14,and therefore, △MRI∼△BAG by SAS ∼.
4: By the Distance Formula,MR=10, RI=2, and IM=10.Also, BA=40, AG=8, and GB=40.Therefore, MRBA=RIAG=IMGB=1040=14,and therefore, △MRI∼△BAG by SSS ∼.
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