Subjects geometry

Geometry Postulates F4381A

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Question: Complete each postulate. If two select choice intersect, then their intersection is a point. Through three noncollinear points there is exactly one select choice.
1. **State the problem:** We need to complete two geometry postulates involving intersections and points. 2. **First postulate:** "If two lines intersect, then their intersection is a point." 3. **Explanation:** This means that when two lines cross each other, they share exactly one point where they meet. 4. **Second postulate:** "Through three noncollinear points there is exactly one plane." 5. **Explanation:** Three points that are not on the same line (noncollinear) define a unique plane that contains all three points. 6. **Summary:** - Two lines intersect in exactly one point. - Three noncollinear points determine exactly one plane.