1. Bellringer 8/22/12 1.Take out your Homework (1-1 Definitions) 2.Read the WHY? on page 5. 3.Come up with another real-world explanation for any of the vocab words you defined for this section. a)Write the explanation on this week's Bellringer page in your Assignment notebook (1 subject notebook).

2. Lesson 1-1 Point, Line, Plane 2 Lesson 1-1 Points, Lines, Planes Borrowed from….

3. Lesson 1-1 Point, Line, Plane 3 Points Points do not have actual size. How to Sketch: Using dots How to label: Use capital letters Never name two points with the same letter (in the same sketch). A B AC

4. Lesson 1-1 Point, Line, Plane 4 Lines Lines extend indefinitely and have no thickness or width. How to sketch : using arrows at both ends. How to name: 2 ways (1) small script letter – line n (2) any two points on the line - Never name a line using three points - n A B C

5. Lesson 1-1 Point, Line, Plane 5 Collinear Points Collinear points are points that lie on the same line. (The line does not have to be visible.) A point lies on the line if the coordinates of the point satisfy the equation of the line. Ex: To find if A (1, 0) is collinear with the points on the line y = -3x + 3. Substitute x = 1 and y = 0 in the equation. 0 = -3 (1) + 3 0 = -3 + 3 0 = 0 The point A satisfies the equation, therefore the point is collinear with the points on the line. ABC A B C Collinear Non collinear

6. Lesson 1-1 Point, Line, Plane 6 Planes A plane is a flat surface that extends indefinitely in all directions. How to sketch: Use a parallelogram (four sided figure) How to name: 2 ways (1) Capital script letter – Plane M (2) Any 3 non collinear points in the plane - Plane: ABC/ ACB / BAC / BCA / CAB / CBA A B C Horizontal Plane M Vertical PlaneOther

7. Lesson 1-1 Point, Line, Plane 7 Different planes in a figure: A B CD E F G H Plane ABCD Plane EFGH Plane BCGF Plane ADHE Plane ABFE Plane CDHG Etc.

8. Lesson 1-1 Point, Line, Plane 8 Other planes in the same figure: Any three non collinear points determine a plane! Plane AFGD Plane ACGE Plane ACH Plane AGF Plane BDG Etc.

9. Lesson 1-1 Point, Line, Plane 9 Coplanar Objects Coplanar objects (points, lines, etc.) are objects that lie on the same plane. The plane does not have to be visible. Are the following points coplanar? A, B, C ? A, B, C, F ? H, G, F, E ? E, H, C, B ? A, G, F ? C, B, F, H ? Yes No Yes No

10. Lesson 1-1 Point, Line, Plane 10 Intersection of Figures The intersection of two figures is the set of points that are common in both figures. The intersection of two lines is a point. m n P Continued……. Line m and line n intersect at point P.

11. Lesson 1-1 Point, Line, Plane 11 3 Possibilities of Intersection of a Line and a Plane (1) Line passes through plane – intersection is a point. (2) Line lies on the plane - intersection is a line. (3) Line is parallel to the plane - no common points.

12. Lesson 1-1 Point, Line, Plane 12 Intersection of Two Planes is a Line. P R A B Plane P and Plane R intersect at the line

13. Homework Pgs 8-11: 1-12, 40-42, 52, 57-61 Lesson 1-2 Vocabulary written in the Notes Section of your Student Notebook. Lesson 1-1 Point, Line, Plane 13