Understanding Points, Understanding Points, Lines, and Planes 1-1 1-1 Lines, and Planes Warm Up Lesson Presentation Lesson Quiz Holt Geometry 1-1 Understanding Points, Lines, and Planes Warm Up Graph each inequality. 1. What is the difference between an expression and an equation? An expression doesn’t have an equal sign. 2. Simplify: -y+12x+3y-6x 2y+6x 3. Evaluate: x+3x+7x for x=-5 -55 Holt Geometry 1-1 Understanding Points, Lines, and Planes Objectives Identify, name, and draw points, lines, segments, rays, and planes. Apply basic facts about points, lines, and planes. Holt Geometry 1-1 Understanding Points, Lines, and Planes Name Point What it is ~No dimension What it looks like • How we name it Point D or D dot Line ~ One dimension Straight path that goes on forever Plane Segment Holt Geometry ~ Two dimension Flat surface that extends forever ~ One dimension Part of a line consisting of two endpoints AB Plane V or Plane RST AB 1-1 Understanding Points, Lines, and Planes Name What it is Ray ~ One dimension Consists of one endpoint and one line Opposite Rays Holt Geometry Two rays with a common endpoint. Point in opposite directions. Form a straight line. What it looks like How we name it AB Only correct answer: 1-1 Understanding Points, Lines, and Planes 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. K L M N Holt Geometry 1-1 Understanding Points, Lines, and Planes 3) Points that lie on the same plane are coplanar. 4)Points that don’t lie on the same plane are non-coplanar. Holt Geometry 1-1 Understanding Points, Lines, and Planes 5) Theorem- Proven to be true 6) Postulate/Axiom is a statement that is accepted as true without proof. Holt Geometry 1-1 Understanding Points, Lines, and Planes Holt Geometry 1-1 Understanding Points, Lines, and Planes *Should remind you of solving a system of equations* Holt Geometry 1-1 Understanding Points, Lines, and Planes Think and discuss: Line(s) 1 Regions 2 2 1 Holt Geometry 3 4 2 5 1-1 Understanding Points, Lines, and Planes Think and discuss: Line(s) 1 2 Regions 2 4 3 2 1 3 4 Holt Geometry 4 5 1-1 Understanding Points, Lines, and Planes Think and discuss: Line(s) 1 2 3 Regions 2 4 7 Holt Geometry 4 5 1-1 Understanding Points, Lines, and Planes Think and discuss: Line(s) 1 2 3 4 Regions 2 4 7 11 Holt Geometry 5 1-1 Understanding Points, Lines, and Planes Think and discuss: Line(s) 1 2 3 4 5 Regions 2 4 7 11 16 Holt Geometry