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Sample Theorem sheet

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Mr. Cheung?s Geometry Cheat Sheet Theorem List Version 7.0 Updated 3/17/12 (The following is to be used as a guideline. The rest you need to look up on your own, but hopefully this will help. The original idea is credited to Mr. Samuel Goree in my period 5 class from 2009. Everyone thank him.) How to use this document: The italicized text is an explanation of the name of the postulate or theorem. You may use that in proofs, or you can use the bolded part?the name of the postulate/theorem when applicable, or the actual statement of the theorem. Remember that you must cite a theorem by name or write it in a complete sentence!) Basic Postulates: Reflexive Property: Any quantity is equal/congruent to itself. Symmetric Property: If , then . Same holds for congruence.

Geometry notes

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Lesson 3.02 KEY Main Idea (page #) DEFINITION OR SUMMARY EXAMPLE or DRAWING Objective After completing this lesson, I will be able to __________________________________________ Proving Congruency (P2) To prove congruency in two triangles you need _____________________, or parts that match up with one another; the parts have to match up, and ____________ of the parts matters. CORRESPONDING Parts (P3) The CORRESPONDING parts are the ones that match up with one another. THREE Congruent Parts (P4) Triangles must have at least THREE congruent parts for them to be considered CONGRUENT SSS (P5) Side?Side?Side Postulate If all three sides are congruent to all three sides of another triangle, then the two triangles are CONGRUENT SAS (P7)

Geometry notes

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Lesson 3.03 KEY Main Idea (page #) DEFINITION OR SUMMARY EXAMPLE or DRAWING Objective After completing this lesson, I will be able to: construct congruent triangles explain why the constructed triangles are congruent Constructing Congruent Triangles (P1-2) Congruent triangles may be constructed by hand using a COMPASS and STRAIGHTEDGE. Congruent triangle may also be constructed using computer technology such as GEOGEBRA. Constructing Congruent Triangles based on S-S-S Postulate (P3) ?ABC is congruent to ?DEF because segment f was constructed with the same length as segment b. Segment e was constructed with the same length as segment c, and segment d was constructed with the same length as segment a. By the SIDE-SIDE-SIDE postulate, ?ABC ?DEF.

Bob the Builder

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Canales, Owen, and Reyes 1 Jeffrey Canales, Meghan Owen, and Johnny Reyes Mrs. Fuller B4 English I 2 May 2012 Death of Innocents Everyday innocent, unborn babies are killed all around the world. It?s wrong and unfair for the unborn babies, they should have rights too. Abortion and fetal rights is an issue in our society because it?s killing innocent life and regulations should be done to resolve this problem.

Geometry Theorems and Postulates for a Midterm

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DEFINITIONS?Def. line segment (segment) - part of a line that has 2 definite endpoints?Def. ray - part of a line that starts with a definite endpoint and extends indefinitely in 1 direction?Def. angle - the union of 2 noncollinear rays with a common endpoint?Def. union - elements belonging in 1 or both sets?Def. intersection - elements that belong to both sets?Def. absolute value - |x| = if x _>_ 0; -x if x _<_ 0?Def. segment length - the distance between the endpoints?Def. congruent segments - segments with the same length?Def. midpoint - a point B is called the midpoint of lineAC if A - B - C and AB = BC?Def. segment bisector - a point, line, ray, segment, or plane that passes through the midpoint of a line?Def.

Geometry Theorems and Postulates

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MATH NOTES PART ONE Geometry- A metric system of measuring the earth Four parts of a mathematics system- undefined terms, defined terms, postulates, theorems Defined terms- postulates, theorems Undefined terms- a point (use capitals), a line (name it with capitals, or name it line l), a plane (adds a new dimension) Zero-dimension- the dimension of a point One-dimension- the dimension of a line Two-dimensional- the dimension of a plane Collinear- when two points are on the same line Non-collinear- when two points are NOT on the same line Non-coplanar- if the point can never be in the plane Postulates- statements accepted without proof Theorem- statements that can be proven with postulates Segment- is part of a line that has two endpoints

Median, Centroid, Altitude, Orthocenter

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Cliffs

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Geometry Ch 2.1 and 2.2 and 2.3 Notes

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Chapter?2.1?and?2.2?and?2.3.notebook 1 August?16,?2012 Warm?up: Students:?Do?the?"Solve?it"?on?pg.?82?and?"Got?it"?#1,?on?pg.?82,?# 2?on?pg.?83 Inductive?reasoning???reasoning?based?on?patterns?you? observe. Do:?Prob.?#3?and? "Got?it"?#3 Conjecture???conclusion?one?reaches?using?inductive?reasoning. (Who?uses?inductive?reasoning?and?why?) Counterexample???an?example?that?shows?a?conjecture?is?false. (note:??one?counterexample?shows?a?conjecture?is?false,?and?no? number?of?examples?can?prove?a?conjecture?is?true.) DO:?"Got?it"?#5?on?pg.?84 Chapter?2.1?and?Chapter?2.2?Reasoning?and?Conditional? Statements Chapter?2.1?and?2.2?and?2.3.notebook 2 August?16,?2012 Chapter?2.1?and?2.2?and?2.3.notebook 3 August?16,?2012 Chapter?2.2?Conditional?Statements

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