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Chapter 1 Foundations for Geometry

Chapter 1 Foundations for Geometry. 1-1: Understanding Points, lines, & planes. Undefined terms. More terms. Points that lie in the same plane are coplanar. Points that lie on the same line are collinear. Segments. Rays. definition.

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Chapter 1 Foundations for Geometry

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  1. Chapter 1Foundations for Geometry

  2. 1-1: Understanding Points, lines, & planes

  3. Undefined terms

  4. More terms • Points that lie in the same planeare coplanar. • Pointsthat lie on the same line are collinear.

  5. Segments

  6. Rays

  7. definition • A postulate, or axiom, is a statement that is accepted as true without proof. Postulates about points, lines, and planes help describe geometric properties.

  8. Postulates: points, lines, & planes • Through any 2points there is exactly one line. • Through any 3 non-collinear points there is exactly one plane containing them. • If 2 points lie on a plane, then the line containing those points lies in the plane.

  9. Postulate: Intersection of lines & planes • If 2 lines intersect, then they intersect in exactly one point. • If 2 planes intersect, then they intersect in exactly one line.

  10. HW Pg. 9 #4-34 even (omit 30)

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