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Missing Angles in Triangles
Measuring angles, 4th - 5th , parallel lines, parallel lines & transversals, 9th - 10th , angle relationships, angles and angle relationships, corresponding angles, properties of angles, triangles, and the..., professional development .
Logic and Proofs (Unit 2)
9th - 10th grade, mathematics.
22 questions
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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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(GEO) Unit 2 - Logic and Proofs
7 Lessons & 2 Assessments
Unit 2 Lessons and Assignments
This unit is part of the Geometry Program.
Geometry Unit 2 Syllabus
Curriculum Standards
National (NCTM) Mathematics Standards
Texas Standards (TEKS) & Student Expectations
Common Core Standards
Interactive FlashCards
Assignment: Terms & Definitions
Lessons & Assignments
Live Lesson 2-1: Conditional Statements (video replay)
Assignment 2-1: Practice Problems
Live Lesson 2-2: Inductive and Deductive Reasoning (video replay)
Assignment 2-2: Practice Problems
Live Lesson 2-3: Postulates and Diagrams (video replay)
Assignment 2-3: Practice Problems
Live Lesson 2-4: Algebraic Reasoning (video replay)
Assignment 2-4: Pratice Problems
Live Lesson 2-5: Proving Statements about Segments & Angles (video replay)
Assignment 2-5: Practice Problems
Live Lesson 2-6: Proving Geometric Relationships (video replay)
Assignment 2-6: Practice Problems
Live Lesson 2-7: Standardized Test Questions (video replay)
Assignment 2-7: Practice Problems
CHALLENGE QUESTIONS
Critical Thinking Exercises
Real World Problem Scenarios
Graded Work & Feedback
HWK Unit 2 VOCABULARY
HWK Unit 2-1: Conditional Statements
HWK Unit 2-2: Inductive and Deductive Reasoning
HWK Unit 2-3: Postulates and Diagrams
HWK Unit 2-4: Algebraic Reasoning
MID Unit 2 QUIZ
HWK Unit 2-5: Proving Statements about Segments & Angles
HWK Unit 2-6: Proving Geometric Relationships
HWK Unit 2-7: Standardized Test Questions
Unit 2 Vocabulary Test
Unit 2 Test
Assessments
Unit 2 Test -Logic and Proofs
Student Grade Report
Unit 2 Grade Report
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(GEO) Unit 4 - Transformations
(GEO) Unit 5 - Congruent Triangles
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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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Geometry Unit 2 Logic And Proof Homework 9 Angle Proofs
Displaying top 8 worksheets found for - Geometry Unit 2 Logic And Proof Homework 9 Angle Proofs .
Some of the worksheets for this concept are Geometry beginning proofs packet 1, Geometry chapter 2 reasoning and proof, Geometry proofs and postulates work, Geometry chapter 2 review work, 1, Geometry notes segment and angle proofs grieser, Name geometry unit 2 note packet triangle proofs, 2 reasoning and proofs.
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1. Geometry Beginning Proofs Packet 1
2. geometry chapter 2 reasoning and proof, 3. geometry: proofs and postulates worksheet, 4. geometry chapter 2 review worksheet, 6. geometry notes g.3 (2.6) segment and angle proofs mrs. grieser, 7. name geometry unit 2 note packet triangle proofs, 8. 2 reasoning and proofs.
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IMAGES
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Since the sum of all angles in a triangle is 180 degrees, angle C can be found by subtracting the sum of angles A and B from 180 degrees. So, angle C = 180 - (60 + 50) = 70 degrees. Since angle C is 70 degrees, which is not equal to 90 degrees, we can conclude that triangle ABC is not a right triangle. Therefore, the statement that angle C is a ...
Here, the angle D is congruent to the angle E . Name: Unit 2: Logic & Proof Homework 8: Angle Proofs Date: Bell: ** This is a 2-page document! ** Given each definition or theorem, complete each statement. 1. Definition of Congruence: If 2D ZE then 2. Definition of Complementary Angles: If 21+ 22 = 90°, then 3.
bi-conditional (symbolic notation) p <--> q. logically equivalent statements. related conditional statements that have the same truth value. conditional and contrapositive. The _____ are always logically equivalent. Law of Detachment. Given a conditional statement, if the hypothesis is true, then the conclusion is true. If p, then q.
Name: Date: Bell: Unit 2: Logic & Proof Homework 8: Angle Proofs ** This is a 2-page document! ** Given each definition or theorem, complete each statement. 1. Definition of Congruence: If zE, then 2. Definition of Complementary Angles: If + = 900 then 3. Definition of Supplementary Angles: If ZP and ZQ are supplementary angles, then 4.
Unit 2 - Logic & Proof : Sample Unit Outline TOPIC HOMEWORK DAY 1 Inductive Reasoning, Conjectures, Counterexamples HW #1 DAY 2 Compound Statements & Truth Tables HW #2 ... DAY 12 Angle Proofs HW #9 DAY 13 Quiz 2-4 None DAY 14 Unit 2 Review Study for Test DAY 15 UNIT 2 TEST None
Given p→q and q→r, ∴ p→r; like the transitive property of equality. If a=b, then a my be replaced with b in any expression or equation. If ∠A is complementary to ∠B and ∠C, then ∠B≅∠C. Study with Quizlet and memorize flashcards containing terms like Inductive Reasoning, Deductive Reasoning, Counter Example and more.
Unit 2 test study guide (logic and proof) 14 terms. EmmaRGoddard. Preview. Honors Geometry 10 Property of Equality, Proofs, Conditionals. 84 terms. alexa0125. Preview. Sitelen Pona. 120 terms. Duch55. ... Given: If two angles in a triangle are 50° and 60° , then the third angles measures 70°. If a triangle has an angle that measures 70 ...
Unit 2 Logic, Proofs, Parallel Lines. 2.1 Vocabulary Introduction Graphic Organizer PowerPoint 2.2 Angles Formed by Parallel Lines & Algebraic Expressions Notes ... Notes HW Textbook Pg 61-62 #1-8 Homework Key Video Tutorial 2.9 Two Column Proofs Continued Notes ...
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. If I do well on the exam, I studied for 1 hour each day. Reasoning based on facts, definitions, accepted properties, and the laws of logic is called ...
Displaying all worksheets related to - Unit 2 Logic Proof Homework 9 Angle Proof. Worksheets are Name geometry unit 2 note packet triangle proofs, Unit 2 introduction to proofs and logic, File pdf name geometry unit 2 note packet triangle proofs, Name geometry unit 2 note packet triangle proofs, Name geometry unit 2 note packet triangle proofs, Site to name geometry unit 2 note packet triangle ...
(GEO) Unit 2 - Logic and Proofs. 7 Lessons & 2 Assessments. Admission Application Unit 2 Lessons and Assignments. This unit is part of the Geometry Program. 1 Syllabus. ... Proving Statements about Segments & Angles (video replay) Assignment 2-5: Practice Problems. Live Lesson 2-6: Proving Geometric Relationships (video replay) ...
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.
Unit 2 Study guide.pdf. Made with Doceri. Page 22 of 22. Unit 2 Test Study Guide (Logic & Proof) with Docerié Topic Conjccttzcs & Counterexamples 1. The product of any Ovo prime numbers is always odd. False with Docerié. Topic Conjccttzcs & Counterexamples 3. The square of a number is always larger than the number.
If two angles are complementary, then both angles must be acute?, True or false? The square of a number is always larger than the number. and more. ... unit 2 test study guide (logic and proof) 20 terms. alexandrea_lindley. Preview. Math Unit 5 Vocab. 21 terms. BlueCat64403. Preview. Honors Geo Midterms. 14 terms. jackmcandrew12. Preview.
FREE Tinder™, DoorDash & more 2. Get four FREE subscriptions included with Chegg Study or Chegg Study Pack, and keep your school days running smoothly. 1. ^ Chegg survey fielded between Sept. 24-Oct 12, 2023 among a random sample of U.S. customers who used Chegg Study or Chegg Study Pack in Q2 2023 and Q3 2023.
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Geometry Unit 2: Logic & Proof quantity. Add to Cart. Geometry Unit 2: ... 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. View more like this ... • Angle Proofs. This unit does not contain activities. This is the guided ...
Answer Keys to Homework Assignments and Additional Assignments: unit_2a_gse_study_guide.doc. Download File. unit_2a_test_review_key.pdf. Download File.
Unit 2 - Logic and Proof. Get a hint. inductive reasoning. Click the card to flip 👆. making a conclusion based on patterns and observations. Click the card to flip 👆. 1 / 61.
Final answer: The homework involves understanding logic and proof in mathematics, which includes logical reasoning techniques and analyzing logical statements. This includes understanding the use of modus ponens and modus tollens, and countering logical statements with counterexamples.
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Vertical angles are congruent, and all integers are not natural numbers. True. True when Both conditional (p to q) and converse (q to p) are true. Study with Quizlet and memorize flashcards containing terms like The product of any two prime numbers is always odd., If two angles are complementary, then both angles must be acute., The square of a ...
JI. 1. If a = 2b, then a - c = 2b - c G f t A JI. Jt. 2. x = x 3. 3 (p - 7) = 3p - 21 If m + 11 = 15 and " = 2, then m + 2 = 15 D 6. If J 7, If w2 = 2x and 1x = y , then w = y f 8. If c - 9 = -1, then c = 8 H JY. Division Property of Equality f. Substitution Property p. Reflexive Pro ... User generated content is uploaded by users for the ...