Answer:
5. Triangle UVT ~ ∆RSQ by SSS
Step-by-step explanation:
The ratios of side lengths, shortest to longest are ...
VT : TU : UV = 42 : 70 : 84 = 3 : 5 : 6
SQ : QR : RS = 15 : 25 : 30 = 3 : 5 : 6
Side lengths are proportional, so ∆UVT ~ ∆RSQ.
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The triangle names need to be chosen so the sides are in the same order. Here UV and RS correspond, as do VT and SQ. That eliminates all but one answer choice.
