Relevance: logical reasoning and using evidence to prove a point

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Presentation transcript:

Relevance: logical reasoning and using evidence to prove a point Sections 2-6 & 2-7: Geometric Proofs: Two-Column, Flowchart and Paragraph Proofs Rigor: Write geometric proofs in the format of two-column proofs, flowchart proofs and paragraph proofs Relevance: logical reasoning and using evidence to prove a point

Review of Two – Column Proofs Format Statements First statement is always given info This side is for work No skipping steps Last line is ALWAYS what you are asked to find/prove Reasons First reason is always GIVEN (from picture, words, definitions) Definitions, theorems, properties, & formulas justify each statement The last reason is NEVER the word “prove”

Structure of a Flowchart Proof Given Info Given Info Reason: Given Reason: Given Statement Statement Reason Reason NOTE: Only 1 statement/equation can go in each bubble! Final Conclusion (what you’re asked to prove) Reason

Structure of a Paragraph Proof Take each statement and its corresponding reason and write a sentence. Sentences should go in the same order that a two-column proof or a flowchart proof would. Use your English writing skills to change up sentence structure! You are allowed to put statement first or reason first!

Common Segments Theorem Proof Workbook page 80 Complete the two-column proof Rewrite the two-column proof as a paragraph proof Finally we shall turn it into a flowchart proof and compare and contrast the three formats.

Puzzle Time! Break into groups of 3 or 4 Work as a team to complete the 3 proofs in your puzzle packet by writing the correct statement or reason in space provided. Use the answer bank! Once you have completed the proofs, discuss with your team which format you prefer and why. Be ready to discuss your answers and preferences with the class.

Pick your Proof Style! Which proof format do you like the best: two column, flowchart, or paragraph? Get a template for the Vertical Angles Theorem in the format you liked best. Complete the proof of the vertical angles theorem and turn it, along with the puzzle packet, in to me for a grade.

Add these theorems to your notes Proof of this theorem is on pg 80 of your workbook!

More Theorems to add to your notes The Linear Pair Theorem – If two angles form a linear pair, then they are supplementary Vertical Angles Theorem – Vertical angles are congruent Right Angle Congruence Theorem – All right angles are congruent Proof of this theorem is on pg 75 of your workbook! Proof of this theorem is on pg 76 & pg 79 of your workbook!

2-6 & 2-7 Classwork Workbook pg 77 #10, Pg 78 #2, 3, pg 81 – 82 ALL