Given that su≅ut and sv> vt, identify a two-column proof that proves m∠suv> m∠tuv.

Choice B

We start with SU = UT being given, and so is SV > VT.

The second line is UV = UV by the reflexive property to help us use the converse of the hinge theorem next.

The hinge theorem basically says that the more open an angle is, the larger the opposite side will be (the side opposite from the angle that varies). Imagine a door opening and closing. The further open it gets, the longer the rope will be that connects the door handle to the frame. Going in reverse, the converse says that if the opposite side of the angle gets bigger, then the angle itself gets bigger as well. The hinge theorem is handy to help compare two sides even if we don't know their exact lengths (we can figure out which side is larger than the other)

b. 153 students do not participate in sports and seventy-five 12th graders were surveyed