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WWW.tutoring.comNOTESCongruentTriangles(CPCTC) Name___ Date___Period___ iTutoring.com CongruentTriangles(CPCTC) Pg.2 iTutoring.com CongruentTriangles(CPCTC) Pg.3
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How to fill out cpctc geometry proofs made
How to fill out cpctc geometry proofs made
01
Start by identifying the congruent triangles in the given diagram.
02
Write down the given information for the congruent triangles.
03
State the given congruence, such as SSS, SAS, ASA, or AAS.
04
Use the congruence statement to establish the corresponding congruent parts.
05
Mark the corresponding congruent parts on the diagram.
06
Explain why the corresponding parts are congruent using the congruence statement.
07
State the theorem or postulate that supports your explanation.
08
Repeat this process for each step in the proof until all statements and reasons are provided.
09
Conclude the proof by stating the final congruence statement or any other conclusions drawn from the proof.
Who needs cpctc geometry proofs made?
01
Geometry students studying congruent triangles and proofs.
02
Math teachers teaching geometry and proofs to their students.
03
Anyone interested in understanding the logic and reasoning behind geometric proofs.
04
Architects and engineers who use geometric proofs to ensure accuracy in design and construction.
05
Individuals preparing for geometry competitions or exams.
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What is cpctc geometry proofs made?
CPCTC stands for 'Corresponding Parts of Congruent Triangles are Congruent', which is a principle used in geometry proofs to demonstrate that certain parts of congruent triangles are equal.
Who is required to file cpctc geometry proofs made?
Students studying geometry may be required to use CPCTC in their proofs, particularly in high school math classes.
How to fill out cpctc geometry proofs made?
To fill out CPCTC proofs, one must first establish the congruence of triangles using criteria such as SSS, SAS, or ASA, and then apply the CPCTC statement to conclude that corresponding parts are equal.
What is the purpose of cpctc geometry proofs made?
The purpose of CPCTC is to provide a method for concluding that corresponding parts of congruent triangles are congruent, which is essential in proving various properties in geometric figures.
What information must be reported on cpctc geometry proofs made?
In CPCTC proofs, it's important to report the congruence statements, the triangles involved, and the corresponding parts that are shown to be congruent.
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