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Triangle Relations and Inequalities
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Result
. . . .

Refer to the given figure. Determine if each statement is always, sometimes, or never true. Choose your answer.

1. If mT<mM, then 1 is acute.
always true
sometimes true
never true
Answer: sometimes true
2. If 2 is obtuse, then mM<mT.
always true
sometimes true
never true
Answer: sometimes true
3. If m2<m1, then TE>ME.
always true
sometimes true
never true
Answer: always true
4. If m1=m2, then ME>TE.
always true
sometimes true
never true
Answer: never true
5. If mT<mE, then m1<m2.
always true
sometimes true
never true
Answer: sometimes true
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