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2.4 Use Postulates and Diagrams

2.4 Use Postulates and Diagrams. Mr s. vazquez Geometry. g-co.1.1 , 3.9-11. Essential Question: How will I use postulates? Objective: Students will be able to use postulates involving points, lines, and planes. points, lines, & planes Postulates .

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2.4 Use Postulates and Diagrams

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  1. 2.4 Use Postulates and Diagrams Mrs. vazquez Geometry

  2. g-co.1.1 , 3.9-11 Essential Question: How will I use postulates? Objective: Students will be able to use postulates involving points, lines, and planes.

  3. points, lines, & planes Postulates • Through any two points there exists exactly one line. • A line contains at least two points. • If two lines intersect, then their intersection is exactly one point. • Through any three noncollinear points, there exists exactly one plane. • A plane contains at least three noncollinear points. • If two points lie in a plane, then the line containing them lies in the plane. • If two planes intersect, then their intersection is a line.

  4. You can assume info about size or measure iff it’s marked. You can assume: • All points are coplanar • ∡AHB & ∡BHD are a linear pair • ∡AHF and ∡BHD are vertical ∡s • A, H, J, & D are collinear • AD & BF intersect at H You can’t assume: • G,F, & E are collinear • BF and CE are || • ∡BHA ≅ ∡CJA • AD ⊥ BF

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