Problem 5 of 7
Use the distance formula to prove segments AB with A(0,0), B(5,12) and CD with C(1,1), D(6,13) are congruent.
Using a hint is okay. It just tells the trainer to give you a little more review.
Hidden until you reveal it.
calculate and compare lengths.
Hidden until you reveal it.
Proof must calculate and compare segment lengths.
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Your answer is equivalent to the expected form.
Walkthrough
Full solution stays hidden until you ask for it.
1. Compute each segment length using distance formula.
2. Simplify lengths or squared lengths.
3. Conclude congruence if lengths match.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Relying on diagram appearance.