Subjects geometry

Planes Through Points 55495F

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1. **State the problem:** Find the number of planes that pass through three non-collinear points. 2. **Recall the geometric rule:** Through any three points that are not on the same line (non-collinear), there is exactly one unique plane. 3. **Explanation:** - If the points were collinear, infinitely many planes could pass through them. - Since the points are non-collinear, they define a single plane uniquely. 4. **Final answer:** $$\text{Number of planes} = 1$$