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Please help I don’t understand this

Please help I don’t understand this-example-1
User Deadlydog
by
6.1k points

1 Answer

2 votes

9514 1404 393

Answer:

WV = 6

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

_____

This is a long way to say that the midsegment (WV) is half the length of the base (ZX) of a triangle.

User Mumayank
by
6.4k points
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