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4.4 - CPCTC. Do Now: Write the converse of the Polygon Congruence Postulate and give an example. Do you think the converse is true?. Agenda. Objective and Preview Quick Review CPCTC Flowchart Proof Practice. Objective and Preview. - PowerPoint PPT Presentation
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4.4 - CPCTC
Do Now:
Write the converse of the Polygon Congruence Postulate and give an example. Do you think the converse is true?
4.4 - CPCTC
Agenda
Objective and Preview
Quick Review
CPCTC
Flowchart Proof
Practice
Objective and Preview
OBJ: Use congruence of triangles to conclude congruence of corresponding parts.
Preview:
CPCTC: Corresponding Parts of Congruent Triangles are Congruent
Flowchart proofs organize thoughts visually
Quick Review
1.) Make a congruence statement:
BADC _________
2.) State the 5 valid tests of triangle congruence
CPCTC
3.) If you have proven ABCDEF, what six things can you say? (Think back to the Do Now)
4.) This idea is often stated as Corresponding Parts of Congruent Triangles are Congruent
5.) It is abbreviated as CPCTC
*CPCTC can be used as a justification in proofs*
6.) Example
Prove that opposite angles in a parallelogram are congruent.
How can you prove this using what you know about triangles?
Flowchart Proof
A way to visually organize information
Statements are written in boxes
Justifications are written underneath
Arrows connect boxes that are logically related
Arrow points from one box to a box that follows logically from it
Example
pg. 236 in your book
7.) Example
Finish the flowchart proof:
8.) Example
Write a flowchart proof:
Given:
Prove:
Start by interpreting the diagram and analyzing the information.
Before you leave
Summarize your notes
HW: Section 4.4 Part 1 p. 240-241 #18, 20-22, 27-29