1 / 21

1.1 Key Concepts

1.1 Key Concepts. Undefined Terms. Palabras que no tienen definiciones formales pero hay un acuerdo sobre lo que significan. Point (un punto ). Un punto es el componente más básico de la geometría. No tiene ningún tamaño. Sólo tiene lugar.

wilkinsonc
Télécharger la présentation

1.1 Key Concepts

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. 1.1 Key Concepts

  2. Undefined Terms Palabras que no tienen definiciones formales pero hay un acuerdo sobre lo que significan.

  3. Point (un punto) Un punto es el componente más básico de la geometría. No tiene ningún tamaño. Sólo tiene lugar. Representa un punto con un punto, y lo que sea con una letra mayúscula.

  4. Line (unalinea) Una línea es una disposición recta, continua de infinitamente muchos puntos. Tiene longitud infinita pero no espesor. Se extiende para siempre en ambas direcciones.

  5. Plane (un plano) Un plano tiene longitud y anchura pero no espesor. Se extiende infinitamente a lo largo de su longitud y anchura. Un plano se representa por lo menos 3 puntos, o por una letra mayúscula cursiva.

  6. Collinear Points Collinear – en la misma línea

  7. Coplanar Points Coplaner – en la misma plano

  8. Defined Terms Términos que pueden ser descritos con términos conocidos como punto o línea

  9. Segment (segmento) LÍNEA segmento (segmento) – consiste en dos extremos y todos los puntos en el medio.

  10. Ray RAY – una línea que comienza en un punto y va infinitamente la otra dirección.

  11. Opposite Ray

  12. Intersection Intersectar (Intersect) – dos o más figuras geométricas se intersecan si tienen uno o más puntos en común.

  13. a. Give two other names for PQand for plane R. b.Name three points that are collinear. Name four points that are coplanar. • Other names for PQare QPand line n. Other names for plane Rare plane SVT and plane PTV. EXAMPLE 1 Name points, lines, and planes SOLUTION

  14. EXAMPLE 1 Name points, lines, and planes b. Points S, P, and Tlie on the same line, so they are collinear. Points S, P, T,and Vlie in the same plane, so they are coplanar.

  15. 1. Use the diagram in Example 1. Give two other names for ST. Name a point that is not coplanar with points Q, S, and T. ANSWER TS, PT; point V for Example 1 GUIDED PRACTICE

  16. a. Give another name for GH . a. Another name for GHis HG . b. The rays with endpoint Jare JE, JG, JF, and JH . The pairs of opposite rays with endpoint Jare JEand JF, and JGand JH. EXAMPLE 2 Name segments, rays, and opposite rays b. Name all rays with endpoint J . Which of these rays are opposite rays? SOLUTION

  17. 2. Give another name for EF ANSWER FE 3. Are HJand JH the same ray ? Are HJand HGthe same ray? Explain. ANSWER No; the rays have different endpoints.Yes; points J and G lie on the same side of H. for Example 2 GUIDED PRACTICE

  18. c. a. b. EXAMPLE 3 Sketch intersections of lines and planes a. Sketch a plane and a line that is in the plane. b.Sketch a plane and a line that does not intersect the plane. c. Sketch a plane and a line that intersects the plane at a point. SOLUTION

  19. STEP 1 Draw: a vertical plane. Shade the plane. STEP 2 Draw: a second plane that is horizontal. Shade this plane a different color. Use dashed lines to show where one plane is hidden. STEP 3 Draw: the line of intersection. EXAMPLE 4 Sketch intersections of planes Sketch two planes that intersect in a line. SOLUTION

  20. ANSWER Use the diagram at the right. 5. Name the intersection of PQand line k. ANSWER Point M for Examples 3 and 4 GUIDED PRACTICE • Sketch two different lines that intersect a plane at the same point.

  21. ANSWER Linek Use the diagram at the right. ANSWER Linek for Examples 3 and 4 GUIDED PRACTICE 6. Name the intersection of plane A and plane B. 7. Name the intersection of line kand plane A.

More Related