We can random f(x) let go small by taking x sufficiently large
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Look at statements 1., 2., and 3. in the proof. Read the statements and look in the figure to see what they represent. In the end, statement 4. states that two triangles are congruent. Which parts of the two triangles were shown to be congruent in statements 1., 2., ansd 3.? When you prove triangles congruent by mentioning those pars are congruent, which theorem was used?
Correct. b is it, since statemtns 1., 2., and 3. show that each side of one triangle is congruent to a side of the other triangle. The proof used three sides congruent to three sides to prove the triangles congruent. That is the SSS thorem.