9514 1404 393
Answer:
WV = 6
Step-by-step explanation:
The hash marks indicate the corresponding lines are the same length. That is, W is the midpoint of YZ, because YW ≅ WZ. Similarly, V is the midpoint of XY, because XV ≅ VY.
Using this information, it can be shown that ∆YWV ~ ∆YZX. This means corresponding sides have the same ratio.
Because YW is half of YZ, WV is half of ZX.
YW/YZ = 1/2 = WV/ZX = WV/12
Multiplying by 12 gives the value of WV:
WV = 12(1/2)
WV = 6
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This is a long way to say that the midsegment (WV) is half the length of the base (ZX) of a triangle.
