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A Perfect Proof. By Mrs. Lee Huang. A perfect proof must always include the following components (yes, all of them!): A “given” statement – this is your starting point; the fact(s) that you start working with A “prove” statement – this is the goal you want to reach/prove - PowerPoint PPT Presentation
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A perfect proof must always include the following components (yes, all of them!): 1.A “given” statement – this is your starting point; the fact(s) that you start working with2.A “prove” statement – this is the goal you want to reach/prove3.A picture – a visual that helps you understand the relationship of figures4.A statement & reason, or sTr, chart – the step-by-step logical process that connects the “given” statement to the “prove” statement
Statement
Statements must be numbered. The first statement is usually
the given statement. The statements are written in
“math form” – equations, congruencies, etc.
The statement should match the conclusion of the corresponding reason.
Reason
Reasons must be numbered to match their corresponding statements
The reason for the given statement is always “given.”
All other reasons must be accepted definitions, theorems or postulates written out fully.
The condition/hypothesis, “if” statement, must be met either through previous step(s) or visually in the figure.
1 2 3A●
●
● ●
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O
C
D
BDraw the “given”
into the figure! It’ll help you visualize the information.
Write the “prove” statement at the
bottom. It can help you to focus on your
next steps.
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