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Warm Up 9/4/13

Warm Up 9/4/13. What is the value of x 2 + 3 yz if x = 3, y = 6, and z = 4?. 81. Solve 2( x – 7) = 5 x + 4. x = -6. Section 1-1. Points, lines, and planes. There are three points on the line. Any two of the points can be used to name the line.

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Warm Up 9/4/13

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  1. Warm Up 9/4/13 What is the value of x2 + 3yz if x = 3, y = 6, and z = 4? 81 Solve 2(x – 7) = 5x + 4. x = -6

  2. Section 1-1 Points, lines, and planes

  3. There are three points on the line. Any two of the points can be used to name the line. A. Use the figure to name a line containing point K. Answer: The line can be named as line a.

  4. Name Lines and Planes B. Use the figure to name a plane containing point L. Answer: The plane can be named as plane B. You can also use the letters of any three noncollinearpoints to name the plane. plane JKM plane KLM plane JLM

  5. Name Lines and Planes The letters of each of these names can be reordered to create other acceptable names for this plane. For example, JKM can also be written as JMK, MKJ, KJM, KMJ, and MJK. There are 15 different three-letter names for this plane.

  6. A.line X B.line c C.line Z D. A. Use the figure to name a line containing the point X. • A • B • C • D

  7. B. Use the figure to name a plane containing point Z. • A • B • C • D A. plane XY B. plane c C. plane XQY D. plane P

  8. Model Points, Lines, and Planes A. Name the geometric shape modeled by a 10  12 patio. Answer: The patio models a plane.

  9. Model Points, Lines, and Planes B. Name the geometric shape modeled by a water glass on a table. Answer: The glass on the table models a point on a plane.

  10. A. VISUALIZATION Name the geometric shape modeled by a colored dot on a map used to mark the location of a city. • A • B • C • D A. point B. line segment C. plane D. none of the above

  11. B. VISUALIZATION Name the geometric shape modeled by the ceiling of your classroom. • A • B • C • D A. point B. line segment C. plane D. none of the above

  12. C. VISUALIZATION Name the geometric shape modeled by the railing on a stairway. • A • B • C • D A. point B. line segment C. plane D. none of the above

  13. Line or AB Collinear Points Collinear pointsare points that lie on the same line.

  14. A C B M Coplanar Points Coplanar points are points that lie on the same plane. Plane M or plane ABC

  15. Note: Line ABis the same as line BA, Rays vs. Lines vs. Line Segments The rayAB (symbolized by AB) begins with of the initial point A (no arrow) When A and B are endpoints it is called a Line Segment. Line Segment AB is the same as BA.

  16. Draw Geometric Figures Draw a surface to represent plane R and label it.

  17. Draw Geometric Figures Draw a line anywhere on the plane.

  18. Draw Geometric Figures Draw dots on the line for point A and B. Label the points.

  19. Draw Geometric Figures

  20. Draw Geometric Figures Draw dots on this line for point D and E. Label the points.

  21. Draw Geometric Figures Label the intersection point of the two lines as P.

  22. Draw Geometric Figures Answer:

  23. Drawing Lines, Segments, and Rays 1 2 3 4 K Draw JK. J Draw KL. L Draw LJ. Draw three noncollinear points J, K, L. Then draw JK, KL and L J. SOLUTION Draw J, K, and L

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