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QUESTION IMAGE

look at the diagram and evaluate. which of the statements below is fals…

Question

look at the diagram and evaluate. which of the statements below is false?
answer
wx = xy wy < wz
x is the midpoint of wy xy < yz

Explanation:

Step1: Calculate the length of each segment

  • \(WX=11 - 6=5\)
  • \(XY = 16-11 = 5\)
  • \(YZ=19 - 16=3\)
  • \(WY=16 - 6=10\)
  • \(WZ=19 - 6=13\)

Step2: Check each statement

  • For \(WX = XY\): Since \(WX = 5\) and \(XY = 5\), \(WX=XY\) is True.
  • For \(WY
  • For \(X\) is the mid - point of \(\overline{WY}\): Since \(WX=XY = 5\) and \(WY=WX + XY=10\), \(X\) is the mid - point of \(\overline{WY}\), so this statement is True.
  • For \(XY3\), so \(XY

Answer:

\(XY < YZ\)