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GeoGebraGeoGebra Classroom

Points, Lines, and Planes

In order to start our journey into Geometry, we first have to understand the meaning of some key terms!

Part 1

1. Move points E, F, and G so they are coplanar (lie on plane A). Planes are determined by three points (points are determined by one, and lines by two!). Plane A has dotted "edges" because it extends infinitely in all directions! Think of a plane as a floor that extends infinitely. 2. Move point H so it lies outside of plane A. 3. Move the line so it contains point H and intersects the plane at point F. Points H and F are collinear because they lie on the same line (). 3. Move the line segment to create line segment . 4. Move the ray to create ray .

Part 2: Intersections between two lines

Take a few minutes to mess around with the toolbar below. Create a point, draw a line, make a triangle, draw a picture! Have a leetle fun! Then answer the following question: There are three cases of relations ("intersections") between two lines. What are they? Show one case using the toolbox below! Remember that a line is determined by two points, so start by adding two points before drawing a line between them.

Part 3: Intersections of a plane with a line

1. In the image below, where does line intersect plane P?

2. In the image below, where does line intersect plane P?

3. Where does line intersect plane P?

Part 4: Intersecting Planes

1. Where does plane A intersect with plane B?

2. There are two other cases of relations ("intersections") between two planes. What are they? [Hint: Think about two pieces of paper with "edges" that extend infinitely in all four directions of the paper.]

You have completed the activity! Wehoo! Make sure to hit "Submit" below. Skim through pages 5-6 to clarify any missing pieces. Then stay in this group meet and start in on your homework! This is our "tutorial time" for the remainder of the class, so pleas