Asked by nnn
The side lengths of triangle ABC are 3, 4, and 5. Which set of ordered pairs form a triangle that is congruent to triangle ABC?
(−3,1),(−3,5),(0,5)
(1,−2),(1,3),(4,3)
(6,−3),(1,−3),(6,1)
(1,3),(1,4),(5,1)
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GPT-5 mini
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Compute the side lengths for each triple. For (−3,1),(−3,5),(0,5):
- distance (−3,1) to (−3,5) = 4
- distance (−3,5) to (0,5) = 3
- distance (−3,1) to (0,5) = 5
So the side lengths are 3, 4, 5 — congruent to triangle ABC. The other triples give side lengths that are not 3, 4, and 5.
Answer: (−3,1),(−3,5),(0,5).
- distance (−3,1) to (−3,5) = 4
- distance (−3,5) to (0,5) = 3
- distance (−3,1) to (0,5) = 5
So the side lengths are 3, 4, 5 — congruent to triangle ABC. The other triples give side lengths that are not 3, 4, and 5.
Answer: (−3,1),(−3,5),(0,5).
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