

Geometric Proofs
Presentation
•
Mathematics
•
9th - 10th Grade
•
Practice Problem
•
Hard
Standards-aligned

Harvey Williams
Used 1K+ times
FREE Resource
15 Slides • 2 Questions
1
Geometric Proofs
Two Column Proofs

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What is a Proof?
A Proof is a convincing mathematical argument.
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......(YES WRITE THIS DOWN)
This means that any person, who understands the terminology, accepts the definition and premises of the mathematics involved and thinks in a logical correct fashion could not deny the validity of the conclusions drawn.
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Undefined Terms-
Can be described but not given precise definitions using simple known terms .
Point
Line
Plane
These are intangible concepts that serve as a foundation. (Used for visualization )
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Other terms...
Space- the set of all points
Geometric Figure- Any collection of points
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Multiple Select
Check all that are intangible concepts
3 D Box
Plane
Line
sphere
point
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CONPONENTS OF A PROOF
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Geometric Proof premises
Definitions
Postulates
Properties
previous proven theorems
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Theorems
Results that we declare from the undefined terms, definitions, postulates , or results that follow from them are call a Theorem
Theorem- is a mathematical Statement that can be proven.
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Postulate
Postulates are statements that we assume to be true.
An postulate states relationships among defined and undefined terms. The purpose stating postulates is to establish some first principles upon which the subject of geometry is based.
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Multiple Choice
A convincing mathematical argument.
Postulate
Proof
Geometric Figure
Definitions
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Writing a Proof
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Writing a Proof
Justify each logical step with reason.
You can use symbols and abbrev, but they must be clear and able to understand.
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Follow these steps....
Step 1 - Write the conjecture (an opinion or conclusion formed on the basis of incomplete information.)
Step 2 - Draw the diagram
Step 3 - State the Given information and mark it on the diagram
Step 4 - State the conclusion of the conjecture in terms of Diagram
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LET'S DO SOME EXAMPLES!
Geometric Proofs
Two Column Proofs

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