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Given: V is the midpoint of YZ, V is the midpoint of XW prove: XYZ = WVY

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Final answer:

To prove XYZ = WVY, we can use the fact that V is the midpoint of YZ and V is the midpoint of XW. We can show that XYZ and WVY are congruent triangles.

Step-by-step explanation:

To prove XYZ = WVY, we can use the fact that V is the midpoint of YZ and V is the midpoint of XW. We can show that XYZ and WVY are congruent triangles.

  1. Since V is the midpoint of YZ, we know that YV = VZ.
  2. Similarly, since V is the midpoint of XW, we know that XV = VW.
  3. From the two statements above, we can conclude that XY = WV.
  4. Since XY = WV and YV = YV, we can then conclude that XYZ and WVY are congruent triangles, and hence XYZ = WVY.

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