If mUTV < mUTS < mSTR, which statement is true? VU < US < SR by the hinge theorem. VU = US = SR by the hinge theorem
. mUTV = mUST = mSTR by the converse of the hinge theorem. mUTV > mUTS > mSTR by the converse of the hinge theorem.
2 answers:
Answer:
True statement is VU < US < SR by the hinge theorem.
Step-by-step explanation:
It is given that ∠UTV < ∠UTS < ∠STR.
According to Hinge theorem "if 2 sides of two triangles are congruent and the included angle of the 1st triangle is larger than the included angle of the 2nd triangle, then the third side of the 1st triangle is longer than the third side of the 2nd triangle."
since ∠UTV < ∠UTS < ∠STR.
So, by hinge theorem sides opposite to these angle are also is this inequality order,
So, according to fig. and by using hinge theorem, we can say that
VU < US < SR.
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