Lesson 1 1 Points Lines and Planes Objective

Lesson 1. 1 - Points. Lines and Planes Objective: The student will be able to make and describe fundamental sketches. The student will also be able to understand basic concepts such as intersect, horizontal, vertical, collinear and coplanar.

Points, Lines and Planes In geometry, a _____ is a location, a ____ contains points, and a _____ is a flat surface that contains points and lines. If points are on the same line, they are _________. If points on are the same plane, they are _________. Points, lines and planes are known as __________ terms because they can only be explained using examples and descriptions. We will use the following chart to provide examples and descriptions of the points, lines and planes.

Point Line Plane Model Drawn As a dot With an arrowhead at As a shaded, slanted each end figure Two _____ A _______ script representing points on letter or by using letters the line or a lowercase letter naming three noncollinear points Named by A ______ letter. Facts Has neither _____ There is exactly one line There is exactly one nor _____ through any two ______ Lines extend indefinitely in two directions. _____ through any three noncollinear points. Planes extend indefinitely in all directions. point P line n, line AB or _____, plane T, plane XYZ, line BA or _______, ____ Words/Symbols _______, ____

Use the figure to name each of the following: m D A 1) A line containing point A B _________________ C 2) A plane containing point D _________________ N Refer to the figure at the right. Use proper notation to answer the following: 3) Name a line that contains point A: ____ 4) What is another name for line m ? ____ L A D B 5) Name a point not on line l : _____ C 6) Name a point not on linem : _____ m 7) Name the intersection of AC and BD: ____ 8) Name a point not on line l or line m. _____ E P

In the space at the right, draw and label separate figures that show each of the following: 9) Line AB is in plane Q 10) line ST intersects line AB at P. 11) Point X is collinear with points A and P. 12) Point Y is not collinear with points T and P. 13) Line l contains points X and Y.

Three Dimensional Drawings Three dimensional drawings are drawings that represent points, lines and planes as they appear in space. Because it is difficult to show three dimensions on a two dimensional page, separate planes are represented by different shades of color and hidden parts of lines and planes are represented by dotted lines. Refer to the figure at the right and answer questions 1 -5. 1. How many planes appear in the figure? A 2. Name them. 3. Name three points that are collinear. 4. Are points A, B, C and D coplanar? B S D 5. At what point do BD and AC intersect? C