To determine if point Y is between points T and Z, we can use the properties of collinear points and the given distances.
We have the following distances:
- \( mYZ = 2.7 \)
- \( mTZ = 1.9 \)
- \( mTY = 4.6 \)
According to the definition of betweenness of points, if point Y is between points T and Z, then the sum of the distances from T to Y and Y to Z should equal the distance from T to Z.
We can check this as follows:
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Calculate \( mTY + mYZ \): \[ mTY + mYZ = 4.6 + 2.7 = 7.3 \]
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Compare this sum with \( mTZ \):
- Given \( mTZ = 1.9 \)
Since \( mTY + mYZ = 7.3 \) does not equal \( mTZ = 1.9 \), this means that point Y is not between points T and Z.
Thus, point Y is not between points T and Z.