Understanding Points, 1-1 Lines, and Planes Warm Up Holt Geometry Warm Up Lesson Presentation Lesson Quiz

Warm Up Graph each inequality. What is the difference between an expression and an equation? An expression doesn’t have an equal sign. Simplify: -y+12x+3y-6x 2y+6x 3. Evaluate: x+3x+7x for x=-5 -55

Objectives Identify, name, and draw points, lines, segments, rays, and planes. Apply basic facts about points, lines, and planes.

Name What it is What it looks like How we name it Point Line Plane Segment ~No dimension dot Point D or D ~ One dimension  Straight path that goes on forever ~ Two dimension Flat surface that extends forever Plane V or Plane RST ~ One dimension Part of a line consisting of two endpoints

Consists of one endpoint Name What it is What it looks like How we name it Ray Opposite Rays ~ One dimension Consists of one endpoint and one line Only correct answer: Two rays with a common endpoint. Point in opposite directions. Form a straight line.

1) Points that lie on the same line are collinear. K, L, and M are collinear. 2) Points that do not lie on the same line are non-collinear K, L, and N are non-collinear. M K L N

3) Points that lie on the same plane are coplanar. 4)Points that don’t lie on the same plane are non-coplanar.

5) Theorem- Proven to be true 6) Postulate/Axiom is a statement that is accepted as true without proof.

*Should remind you of solving a system of equations*

Think and discuss: Line(s) 1 2 3 4 5 Regions 2 1 2

Think and discuss: Line(s) 1 2 3 4 5 Regions 2 4 2 1 3 4

Think and discuss: Line(s) 1 2 3 4 5 Regions 2 4 7

Think and discuss: Line(s) 1 2 3 4 5 Regions 2 4 7 11

Think and discuss: Line(s) 1 2 3 4 5 Regions 2 4 7 11 16