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Understanding Points, 1-1 Lines, and Planes Warm Up
Holt Geometry Warm Up Lesson Presentation Lesson Quiz
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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
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Objectives Identify, name, and draw points, lines, segments, rays, and planes. Apply basic facts about points, lines, and planes.
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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
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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.
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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
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3) Points that lie on the same plane are coplanar.
4)Points that don’t lie on the same plane are non-coplanar.
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5) Theorem- Proven to be true 6) Postulate/Axiom is a statement that is accepted as true without proof.
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*Should remind you of solving a system of equations*
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Think and discuss: Line(s) 1 2 3 4 5 Regions 2 1 2
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Think and discuss: Line(s) 1 2 3 4 5 Regions 2 4 2 1 3 4
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Think and discuss: Line(s) 1 2 3 4 5 Regions 2 4 7
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Think and discuss: Line(s) 1 2 3 4 5 Regions 2 4 7 11
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Think and discuss: Line(s) 1 2 3 4 5 Regions 2 4 7 11 16
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