1 2 Points Lines and Planes Undefined Terms
- Slides: 19
1 -2 Points, Lines, and Planes
Undefined Terms Term Description How to Name it Diagram Point: indicates a location and has no size A Line: represented by a straight path that extends in two opposite directions without end and has no thickness. A line contains infinitely many points Plane: represents a flat surface that extends without end and has no thickness. A plane contains infinitely many lines B m A Name a plane by a capital letter, such as plane P Or by at least three points in the plane that do not lie on the same line, such as plane ABC B A P C
Collinear Points: Points that lie on the same line Coplanar: Points and lines that lie in the same plane All points of a line are coplanar!
Problem 1: Naming Points, Lines, and Planes
Defined Terms Term Description Segment: part of a line that consists of two endpoints and all the points between them Ray: part of a line that consists of one endpoint and all the points of the line on one side of the endpoint How to Name it Diagram B A Opposite Rays: two rays that share the same endpoint and form a line B C A
Problem 2: Naming Segments and Rays •
DAY 2: Points, Lines, and Planes Continued
Problem 3: Finding the intersections of Two Planes Postulate (axiom): an accepted statement of fact. They are basic building blocks of the logical system in geometry (to prove general concepts)
Side note: when you know two points that two planes have in common, Postulate 1 -1 and 1 -3 tell you that the line through those points is the intersection of the planes.
Each surface of the box represents part of a plane. What is the intersection of plane ADC and plane BFG? When you name a plane from a figure like this box, list the corner points in consecutive order. EX: plane ABCD and plane ADCB are names for the top plane but plane ACBD is not!!
Problem 4: Using Postulate 1 -4
• What plane contains points N, P, and Q? Shade the region.
• What plane contains points J, M and Q? Shade the region.
• What plane contains points L, M and N? Shade the region.
- A plane contains at least _____ point/s
- Point a lies in plane p illustration
- Introduction to geometry points lines and planes
- Lesson 1-2 geometric figures
- 1-1 understanding points lines and planes
- Examples of points lines and planes
- Understanding points lines and planes
- Quiz 1-1 points lines planes distance and midpoint
- Coplanar points
- Worksheet 1-1 points, lines, and planes day 1
- 1-1 points, lines, and planes
- How many planes appear in the figure
- 1-2 points lines and planes answer key geometry
- 1-1 understanding points lines and planes
- Lesson 1-1 understanding points lines and planes
- Understanding points lines and planes
- Lesson 1-1 understanding points lines and planes
- Practice 1-2 points lines and planes
- Plane abc
- Geometry 1-2 points lines and planes