geometry unit 2 logic and proof homework answers

Logic and Proof (Geometry Curriculum - Unit 2) | All Things Algebra®

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Description

This Logic and Proof Unit Bundle contains guided notes, homework assignments, four quizzes, a study guide and a unit test that cover the following topics:

• Inductive Reasoning and Conjectures

• Compound Statements and Truth Tables

• Conditional Statements

• Related Conditionals (Inverse, Converse, Contrapositive)

• Biconditional Statements

• Venn Diagrams with Logic Statements

• Deductive Reasoning (Law of Detachment and Law of Syllogism)

• Properties of Equality (Addition, Subtraction, Multiplication, Division, Distributive, Substitution, Reflexive, Symmetric, Transitive)

• Algebraic Proofs

• Properties of Congruence (Reflexive, Symmetric, Transitive)

• Segment Proofs

• Angle Proofs

Please download the preview to see a sample outline along with a collage of some of the pages.

Definitions, Postulates, and Theorems included in the proofs:

Definition of Congruence, Definition of Midpoint, Definition of Complementary Angles, Definition of Supplementary Angles, Definition of Angle Bisector, Definition of Perpendicular, Definition of a Right Angle, Segment Addition Postulate, Angle Addition Postulate, Vertical Angles Theorem, Complement Theorem, Linear Pairk (Supplement) Theorem, Congruent Complements Theorem, Congruent Supplements Theorem

ADDITIONAL COMPONENTS INCLUDED:

(1) Links to Instructional Videos: Links to videos of each lesson in the unit are included. Videos were created by fellow teachers for their students using the guided notes and shared in March 2020 when schools closed with no notice.  Please watch through first before sharing with your students. Many teachers still use these in emergency substitute situations. (2) Editable Assessments: Editable versions of each quiz and the unit test are included. PowerPoint is required to edit these files. Individual problems can be changed to create multiple versions of the assessment. The layout of the assessment itself is not editable. If your Equation Editor is incompatible with mine (I use MathType), simply delete my equation and insert your own.

(3) Google Slides Version of the PDF: The second page of the Video links document contains a link to a Google Slides version of the PDF. Each page is set to the background in Google Slides. There are no text boxes;  this is the PDF in Google Slides.  I am unable to do text boxes at this time but hope this saves you a step if you wish to use it in Slides instead! 

This resource is included in the following bundle(s):

Geometry First Semester Notes Bundle

Geometry Curriculum

Geometry Curriculum (with Activities)

More Geometry Units:

Unit 1 – Geometry Basics

Unit 3 – Parallel and Perpendicular Lines

Unit 4 – Congruent Triangles

Unit 5 – Relationships in Triangles

Unit 6 – Similar Triangles

Unit 7 – Right Triangles and Trigonometry Unit 8 – Polygons and Quadrilaterals

Unit 9 – Transformations

Unit 10 – Circles

Unit 11 – Volume and Surface Area Unit 12 – Probability

LICENSING TERMS: This purchase includes a license for one teacher only for personal use in their classroom. Licenses are non-transferable , meaning they can not be passed from one teacher to another. No part of this resource is to be shared with colleagues or used by an entire grade level, school, or district without purchasing the proper number of licenses. If you are a coach, principal, or district interested in transferable licenses to accommodate yearly staff changes, please contact me for a quote at [email protected].

COPYRIGHT TERMS: This resource may not be uploaded to the internet in any form, including classroom/personal websites or network drives, unless the site is password protected and can only be accessed by students.

© All Things Algebra (Gina Wilson), 2012-present

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All Things Algebra®

Geometry Unit 2: Logic & Proof

This unit includes 73 pages of guided notes, homework assignments, four quizzes, a study guide, and a unit test that cover the topics listed in the description below.

• Description
• Additional Information
• What Educators Are Saying

This unit contains the following topics:

• Inductive Reasoning and Conjectures • Compound Statements and Truth Tables • Conditional Statements • Related Conditionals (Inverse, Converse, Contrapositive) • Biconditional Statements • Venn Diagrams with Logic Statements • Deductive Reasoning (Law of Detachment and Law of Syllogism) • Properties of Equality (Addition, Subtraction, Multiplication, Division, Distributive, Substitution, Reflexive, Symmetric, Transitive • Algebraic Proofs • Properties of Congruence (Reflexive, Symmetric, Transitive) • Segment Proofs • Angle Proofs

This unit does not contain activities.

This is the guided notes, homework assignments, quizzes, study guide, and unit test only.  For suggested activities to go with this unit, check out the ATA Activity Alignment Guides .

This resource is included in the following bundle(s):

Geometry Curriculum Geometry Curriculum (with Activities)

License Terms:

This purchase includes a single non-transferable license, meaning it is for one teacher only for personal use in their classroom and can not be passed from one teacher to another.  No part of this resource is to be shared with colleagues or used by an entire grade level, school, or district without purchasing the proper number of licenses.  A t ransferable license is not available for this resource.

Copyright Terms:

No part of this resource may be uploaded to the internet in any form, including classroom/personal websites or network drives, unless the site is password protected and can only be accessed by students.

What standards is this curriculum aligned to?

What format are the files in, will i have access to materials if they are updated, are answer keys included, are videos included.

LOVE these units! I intend to buy them all! Makes it so easy to reinforce what they're leaning in class. The notes and answer keys help ME so much!

-RACHELLE P.

Math 2 students are expected to be able to solve proofs without ever being exposed to them. This unit is the perfect bridge to teach them HOW to solve proofs before getting into geometry.

I teach online geometry and love using the filled in notes and videos as an additional resource for students to access. It is an amazing resource for my online students to have and the notes are very well put together! This has saved me hours of time making additional resources, well worth the money!

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Unit 2 Logic And Proofs Homework 8 Segment Proofs

Unit 2 Logic And Proofs Homework 8 Segment Proofs - Displaying top 8 worksheets found for this concept.

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1. GEOMETRY CHAPTER 2 Reasoning and Proof

2. chapter 2, 3. geometry beginning proofs packet 1, 4. 2.6 algebraic proofs, 5. unit 1: tools of geometry / reasoning and proof, 6. geometry proofs worksheets with answers, 7. geometry proofs worksheets with answers, 8. name geometry unit 2 note packet triangle proofs.

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Logic and Proofs (Unit 2)

9th - 10th grade, mathematics.

22 questions

Introducing new   Paper mode

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• 1. Multiple Choice Edit 1 minute 1 pt Given, "If I have a Siberian Husky, then I have a dog." Identify the hypothesis. If I have a Siberian Husky. I have a Siberian Husky. Then I have a dog. I have a dog.
• 2. Multiple Choice Edit 1 minute 1 pt Given, "If I have a Siberian Husky, then I have a dog." Identify the conclusion. If I have a Siberian Husky. I have a Siberian Husky. Then I have a dog. I have a dog.
• 3. Multiple Choice Edit 1 minute 1 pt Given, "If angles are congruent, then the measures of the angles are equal." Identify the converse. If the measures of the angles are equal, then the angles are congruent. "If angles are not congruent, then the measures of the angles are not equal." If the measures of the angles are not equal, then the angles are not congruent. If the angles are not congruent, then the measure of the angles are equal.
• 4. Multiple Choice Edit 1 minute 1 pt Use the law of syllogism to draw a conclusion from the two given statements: Statement 1: If you exercise regularly, then you have a healthy body Statement 2: If you have a healthy body, then you have more energy You have more energy If you exercise regularly, then you have more energy You have a healthy body If you do not have a healthy body, then you do not exercise regularly

Use the Law of Detachment:

If Bill wears a green shirt, then he will pass the test. Bill wore a green shirt.

What can you conclude?

Bill wore a green shirt.

Bill passed the test.

• 6. Multiple Choice Edit 1 minute 1 pt Use the Law of Detachment to draw a conclusion from the two given statements. If not possible, write not possible. Statement 1: If I study for one hour each day, then I will score well on the exam Statement 2: I will score well on the exam  I study for 1 hour each day. I do not study for 1 hour each day If I do well on the exam, I studied for 1 hour each day. not possible

Reasoning based on facts, definitions, accepted properties, and the laws of logic is called ____________ reasoning.

Reasoning based on specific examples and patterns used to form conjectures is called ______________ reasoning.

Using the Law of Syllogism, write a new conditional statement that follows from the pair of true statements.

If you study, then you will pass the test. If you pass the test, then you will pass the class.

If you study, then you will pass the class.

If you pass the test, then you should study.

If you pass the class, then you will pass the test.

If you study, then you will pass the test.

Which of the following is NOT a property of a good proof?

Begins by stating the Given information.

Ends with statement to be Proven.

Includes a diagram.

Includes false statements.

• 14. Multiple Choice Edit 1 minute 1 pt What does the word BISECT mean? To cut something into more than five pieces. It is a plane with two sets of wings. A shape that has three sides.  To cut something into two congruent pieces or in half.

Which Postulate/Definition would you use to find HG ?

Segment Addition Postulate

Angle Addition Postulate

Definition of Segment Bisector

Definition of Angle Bisector

Which of the following theorems/postulates would verify that ∠COB & ∠AOD are congruent?

Straight Angle Theorem

Congruent Compliments Theorem

Vertical Angles Theorem

Linear Pair Theorem

If AB =50, which definition would explain why AM =25?

Definition of Congruent

Definition of Midpoint

Definition of Segment

Given that AM=MB , what definition allows us to say that the respective segments are congruent?

If m∠XUZ = 123° and m∠ZUY = 45°, which definition/postulate explains why m∠XUY = 78°?

If the ray HK is bisecting ∠GHJ, then what reason would you use to say ∠GHK is congruent to ∠KHJ?

You know that an isosceles triangle has two congruent sides. You see a triangle with 2 congruent sides. You conclude that the triangle is isosceles.

What type of reasoning did you use?

Inductive reasoning

Deductive reasoning

You go fishing and notice every time you fish in a certain hole you never catch anything. You conclude that there are no fish in that hole.

What kind of reasoning did you use?

inductive reasoning

deductive reasoning

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Unit 2 Logic And Proof Homework 4 Venn Diagrams

Displaying top 8 worksheets found for - Unit 2 Logic And Proof Homework 4 Venn Diagrams .

Some of the worksheets for this concept are Venn diagrams, , Venn diagrams and set operations, Mathematics practice test, Why oj simpson won work, Algebraic proofs work answers gina wilson, Math venn diagram task, Geometry proofs and postulates work.

Found worksheet you are looking for? To download/print, click on pop-out icon or print icon to worksheet to print or download. Worksheet will open in a new window. You can & download or print using the browser document reader options.

1. Venn Diagrams

3. 2.3 venn diagrams and set operations, 4. mathematics practice test, 5. why oj simpson won worksheet -, 6. algebraic proofs worksheet answers gina wilson, 7. math venn diagram task, 8. geometry: proofs and postulates worksheet.