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Plot three points on the coordinate plane and label them A, B, and C. (Be sure that all three points do not lie in a straight line.) Now join the points two at a time using straight paths. How many unique straight paths can you make through the points? Which geometric figure is formed?
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GPT-5 mini
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Choose three non‑collinear points, for example:
- A = (0, 0)
- B = (3, 0)
- C = (1, 2)
Plot and label those points. Join each pair with a straight segment: AB, BC, and CA.
- Number of unique straight paths (segments) = number of distinct pairs = C(3,2) = 3.
- The figure formed by these three joined segments is a triangle (triangle ABC).
- A = (0, 0)
- B = (3, 0)
- C = (1, 2)
Plot and label those points. Join each pair with a straight segment: AB, BC, and CA.
- Number of unique straight paths (segments) = number of distinct pairs = C(3,2) = 3.
- The figure formed by these three joined segments is a triangle (triangle ABC).
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