1. 1.1 Points, Lines, and Planes
Homework:
pg. 8 # 3-16, 21, 25, 28, 30, 32, 34, 35-38

2. 1.1 Points, Lines, and Planes
Learning Goals:
Students will be able to name points, lines, and planes.
Students will sketch intersections of lines and planes and solve real-life problems involving lines and planes.

3. Definitions A point is simply a location.
A line is made up of points and is infinite.
Fact: There is exactly 1 line through any two points.
Points lying on the same line are collinear.
A Line Segment has a start and a finish, known as endpoints.
A Ray has an endpoint and continues infinite.

4. Definitions A plane is a flat surface made up of points.
Points that lie on the same plane are coplanar.
Fact: There is exactly one plane through any three noncollinear points.
Space is a boundless, three-dimensional set of all points. Space contains lines and planes.

5. Example 1: Use the figure to name the following:
What is the name of the plane?
Give another name for line a .
Name a point.
Name 3 points that are collinear.
Example 1-1b

6. Example 2:
VISUALIZATION Name the geometric shape modeled by a 10  12 patio.
Let’s take a look around the room…..
Can you find 5 lines?
Can you find 5 points?
Can you name a plane and then 2 things that are not coplanar with it?
How many geometric shapes do you find in the room?
Example 1-2b

7. Example 3:
Draw and label a figure for the following situation. Plane R contains lines and , which intersect at point P. Add point C on plane R so that it is not collinear with or
Example 4:
Plane D contains line a, line m, and line t, with all three lines intersecting at point Z. Add point F on plane D so that it is not collinear with any of the three given lines
Example 1-3a

8. Example 5: How many planes appear in this figure?
Name 3 points that are collinear.
At what point does DB and AC intersect?
Are points A, B, C, and D coplanar? Explain
Example 1-4a