Problem 9 of 7
Use the distance formula to prove segments J(1,1)K(4,5) and L(0,0)M(3,4) are congruent.
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calculate and compare lengths.
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Coordinates must produce equal segment lengths.
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Solution
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1. Compute each segment length using the distance formula.
2. Compare the two lengths or squared lengths.
3. If equal, conclude the segments are congruent.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Comparing only horizontal or vertical changes for diagonal segments.