QUESTION IMAGE
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
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 \(XY
3\), so \(XY
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\(XY < YZ\)