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Geometric Foundations Warm-Up: Points, Lines, and Planes

Identify isographic, orthographic, net, or foundation images. Learn about points, lines, and planes: properties, drawings, and nomenclature. Understand collinear and coplanar points, naming planes with 4 letters. Explore geometric postulates and complete exercises from pages 18-20.

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Geometric Foundations Warm-Up: Points, Lines, and Planes

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  1. Warm-up: Decide if the image is isographic, orthographic, a net, or foundation. 10 20 13 90 40 30 12 10

  2. 1.3: Points, Lines, and Planes

  3. Undefined terms • Point • Properties: no size • Drawing: • Name: “Point …” • Line • Properties: extends forever in two directions, has no thickness • Drawing: • Name: “Line…” • Plane • Properties: no thickness, flat, all sides extend forever, can be made using any 3 points • Drawing: • Name: “Plane…” *note: Letters must go clockwise or counterclockwise (if 4 on corners)

  4. Space is defined as a set of all points • Collinear points are points that lie on the same line. • Coplanar points are … Points that lie on the same plane

  5. Collinear points: • Non collinear points:

  6. Name the planes using 4 letters

  7. A postulate or axiom is an accepted statement of fact. • Ex.: Girls use the girls bathroom. • Triangles have 3 sides

  8. With a partner Use pages 18-19 to complete postulates 1-1 to 1-4

  9. Hwk: p. 19-20, 1-43 odds

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