QUESTION IMAGE
Question
is (overline{uv}) congruent to (overline{vw})?
Step1: Calculate the length of \( \overline{UV} \)
The formula for the distance between two points \( x_1 \) and \( x_2 \) on a number line is \( d=\vert x_2 - x_1\vert \). For \( U = 3 \) and \( V = 5 \), \( UV=\vert5 - 3\vert=2 \).
Step2: Calculate the length of \( \overline{VW} \)
For \( V = 5 \) and \( W = 6 \), \( VW=\vert6 - 5\vert=1 \).
Step3: Compare the lengths
Since \( UV = 2 \) and \( VW = 1 \), \( UV
eq VW \).
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