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Introduction to Points, Lines, and Planes in Geometry

This lesson formally defines geometric figures such as points, lines, and planes. It also covers the concepts of collinear and coplanar points, as well as the necessity of undefined terms in geometry. The lesson includes multiple practice exercises and assignments.

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Introduction to Points, Lines, and Planes in Geometry

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  1. Lesson 1-1 Points, Lines, and Planes

  2. Ohio Content Standards:

  3. Ohio Content Standards: • Formally define geometric figures.

  4. Ohio Content Standards: • Formally define geometric figures. • Recognize and explain the necessity for certain terms to remain undefined, such as point, line and plane

  5. Vocabulary:

  6. Vocabulary: • Point:

  7. Vocabulary: • Point: simply a location

  8. Vocabulary: • Line:

  9. Vocabulary: • Line: made up of points and has no thickness or width

  10. Vocabulary: • Collinear:

  11. Vocabulary: • Collinear: points on the same line

  12. Vocabulary: • Plane:

  13. Vocabulary: • Plane: flat surface made up of points

  14. Vocabulary: • Coplanar:

  15. Vocabulary: • Coplanar: Points that lie on the same plane

  16. Use the figure to name each of the following:

  17. Use the figure to name each of the following: J K M L

  18. Use the figure to name each of the following: • a line containing point K J K M L

  19. Use the figure to name each of the following: • a line containing point K • a plane containing point L J K M L

  20. Name the geometric shape modeled by each object.

  21. Name the geometric shape modeled by each object. • the long hand on a clock

  22. Name the geometric shape modeled by each object. • the long hand on a clock • a 10 X 12 patio

  23. Name the geometric shape modeled by each object. • the long hand on a clock • a 10 X 12 patio • the location where the corner of a driveway meets the road

  24. Vocabulary:

  25. Vocabulary: • Undefined terms:

  26. Vocabulary: • Undefined terms: terms only explained using examples and descriptions

  27. Draw and label a figure for each relationship.

  28. Draw and label a figure for each relationship. • plane R contains lines AB and DE, which intersect at point P. Add point C on plane R so that it is not collinear with AB or DE.

  29. Draw and label a figure for each relationship. • plane R contains lines AB and DE, which intersect at point P. Add point C on plane R so that it is not collinear with AB or DE. • QR on a coordinate plane contains Q(-2, 4) and R(4, -4). Add point T so that T is collinear with these points.

  30. A C B S D

  31. A C B • How many planes appear in this figure? S D

  32. A C B • How many planes appear in this figure? • Name three points that are collinear. S D

  33. A C B • How many planes appear in this figure? • Name three points that are collinear. • Are points A, B, C, and D coplanar? Explain. S D

  34. A C B • How many planes appear in this figure? • Name three points that are collinear. • Are points A, B, C, and D coplanar? Explain. • At what point do DB and CA intersect? S D

  35. Assignment: Pgs. 9 - 11 14 - 46 evens

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