Parallel and Perpendicular Lines (Geometry - Unit 3) | All Things Algebra®
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This Parallel and Perpendicular Lines Unit Bundle contains guided notes, homework assignments, two quizzes, a study guide and a unit test that cover the following topics:
• Parallel Lines, Parallel Planes, Skew Lines
• Lines and Angle Relationships: Corresponding Angles, Alternate Interior Angles, Alternate Exterior Angles, Consecutive Interior Angles, Consecutive Exterior Angles
• Parallel Lines Cut by a Transversal: Solving for missing angles and using algebra to solve for missing angles.
• Proving Lines are Parallel: Using converses or algebraically.
• Parallel Line Proofs
• Slope Review: Find slope given a graph or two ordered pairs.
•Parallel and Perpendicular Lines: Using the slope formula to prove lines are parallel, perpendicular, or neither.
• Equations of Lines Review: Slope-Intercept Form, Standard Form, Vertical and Horizontal Lines
• Comparing Equations to determine parallel, perpendicular, or neither.
• The Point-Slope Formula: Writing linear equations given a point and slope or two points.
• Writing Parallel or Perpendicular Equations: Write an equation parallel or perpendicular to a given equation, passing through a specific point.
Please download the preview to see a sample outline along with a collage of some of the pages.
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 2 – Logic and Proof
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 3: Parallel & Perpendicular Lines
This unit includes 58 pages of guided notes, homework assignments, two 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:
• Parallel Lines, Parallel Planes, Skew Lines • Lines and Angle Relationships: Corresponding Angles, Alternate Interior Angles, Alternate Exterior Angles, Consecutive Interior Angles, Consecutive Exterior Angles • Parallel Lines Cut by a Transversal: Solving for missing angles and using algebra to solve for missing angles. • Proving Lines are Parallel: Using converses or algebraically. • Parallel Line Proofs • Slope Review: Find slope given a graph or two ordered pairs. •Parallel and Perpendicular Lines: Using the slope formula to prove lines are parallel, perpendicular, or neither. • Equations of Lines Review: Slope-Intercept Form, Standard Form, Vertical and Horizontal Lines • Comparing Equations to determine parallel, perpendicular, or neither. • The Point-Slope Formula: Writing linear equations given a point and slope or two points. • Writing Parallel or Perpendicular Equations: Write an equation parallel or perpendicular to a given equation, passing through a specific point.
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.
Absolutely a time saver and covers the content in an efficient and understandable fashion. Great purchase!!
I love having everything I need for this unit at my fingertips with this bundle. I am always a plan of well-thought out, no-prep, resources I can use to effectively educate my students. The format of the bundle is so well organized. I highly recommend this product.
-JESSICA S.
My students love this work. With all the preps that I have over several math levels, this makes the prep work very easy as supplemental material to the general education class. It is very helpful to my LD students and breaks down the material so that they can have extra practice, learn the terms in specific order, and is very neatly laid out for an appealing way to study. I love this resource and will eventually purchase all of them in the Geometry package! I wish I could purchase the entire bundle, but I will eventually have it!
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IMAGES
VIDEO
COMMENTS
Click here 👆 to get an answer to your question ️ unit 3 parallel and perpendicular lines homework 4 parallel line proofs PLEASE HELP!!!!! 100 points!…
3. Possible answer: If the lines are dragged farther apart or closer together, there is no change in the ∠ measures. Since the lines remain , the amount of "tilt" of the line remains the same, so the ∠ measures remain the same. 3-2 ANGLES FORMED BY PARALLEL LINES AND TRANSVERSALS, PAGES 155-161 CHECK IT OUT! PAGES 155-157 1. x = 118
3.1 Lines and Angles 3.2 Properties of Parallel Lines 3.3 Proving Lines Parallel 3.4 Parallel Lines and Triangles 3.5 Equations of Lines in the Coordinate Plane 3.6 Slopes of Parallel and Perpendicular Lines Unit 3 Review
the lines are parallel. Proof Ex. 11, p. 142 Theorem 3.8 Consecutive Interior Angles Converse If two lines are cut by a transversal so the consecutive interior angles are supplementary, then the lines are parallel. Proof Ex. 12, p. 142 k 5 4 j k j 1 8 k 3 j 5 j k j k If ∠3 and ∠5 are supplementary, then j k. Constructing Parallel Lines Use ...
Notes: PROOFS OF PARALLEL LINES Geometry Unit 3 - Reasoning & Proofs w/Congruent Triangles Page 165 IF THEN Corresponding angles are congruent. Alternate interior angles are congruent. Alternate exterior angles are congruent. The lines are PARALLEL Consecutive interior angles are supplementary. The lines are perpendicular to the same line. EXAMPLE 4: Given the following information, determine ...
Unit 3 Study Guide -Parallel Lines & Proofs Section 3-1 Definitions: Parallel Lines, Skew Lines, Parallel Planes, Parallel Line and Plane, Transversal, Alternate Interior Angles, Alternate Exterior Angles, Same Side Interior Angles, Corresponding Angles Know How To: 1) Name figures described above. 2) Find the intersection of two figures.
Lines are perpendicular if and only if the product of their slope is equal to -1 or opposite reciprocals. Reciprocal. Flip the fraction and change the sign. Slope-Intercept Form. Y = mx + b. Study with Quizlet and memorize flashcards containing terms like Perpendicular Lines, Parallel Lines, Parallel Planes and more.
Geometry Unit 3 Lesson 4 Proofs and Proving Lines are Parallel. converse of a theorem. Click the card to flip 👆. found by exchanging the hypothesis and conclusion. The ______________is not automatically true. If it is true, it must be stated as a postulate or proved as a separate theorem. Click the card to flip 👆.
a. If a transversal intersects two parallel lines, then the alternate angles formed are congruent. b. If a transversal intersects two parallel lines, then the corresponding angles formed are congruent. c. The vertical angles are always congruent. d. All of these 12. What value of x will make both lines parallel? x = _____15°_____ p t w q v r s ...
Section 3.3 Proving Lines Parallel G.1.1: Demonstrate understanding by identifying and giving examples of undefined terms, axioms, theorems, and inductive and deductive reasoning; G.6.4: Prove and use theorems involving the properties of parallel lines cut by a transversal, similarity, congruence, triangles, quadrilaterals, and circles;
Step 1: Construct a segment. Step 2: Construct 2 parallel lines crossing that segment. Step 3: Number the angles 1 - 8. Step 4: Measure each angle with a protractor, write that measure on the figure. Step 5: Write, in paragraph form, the relationships you see.
The Model Math Teacher. This bundle contains UNIT 3 (Parallel & Perpendicular Lines) of the Geometry Notes & Practice product line.There are 7 Notes & Practice products in this bundle.1. Line & Angle Relationships2. Parallel Lines & Transversals3. Slope4.
This video covers:• Converse of Corresponding Angles Postulate (00:00)• Determining Whether Lines are Parallel (04:53)
This video goes over how you prove lines are parallel using the converse angle theorems.
theorem 3-8. Through a point outside a line, there is exactly one line parallel to the given line. theorem 3-9. Through a point outside a line, there is exactly one line perpendicular to the given line. theorem 3-10. Two lines parallel to a third line are parallel to each other. Study with Quizlet and memorize flashcards containing terms like ...
This Parallel and Perpendicular Lines Unit Bundle contains guided notes, homework assignments, two quizzes, a study guide and a unit test that cover the following topics: • Parallel Lines, Parallel Planes, Skew Lines. • Lines and Angle Relationships: Corresponding Angles, Alternate Interior Angles, Alternate Exterior Angles, Consecutive ...
The topic mentioned - 'Gina Wilson geometry unit 3 homework 4: parallel line proofs' - pertains to mathematics, specifically geometry proofs related to parallel lines. In high school geometry, students learn various postulates and theorems to perform proofs that involve parallel lines and angles formed by transversals. To solve these proofs ...
Unit 3: Parallel Line Proofs. 9/21- If/Then Statements Homework: Write 2 sets of statements 9/22- Logical Order Homework: "Silly Proofs" ... 10/16-Parallel Line Proofs Homework: Prove Lines Parallel Practice 10/17- Puzzle Proofs Homework: Finish the Puzzle Proofs 10/18- Parallel Line Proof Quiz
This unit contains the following topics: • Parallel Lines Cut by a Transversal: Solving for missing angles and using algebra to solve for missing angles. • Proving Lines are Parallel: Using converses or algebraically. • Slope Review: Find slope given a graph or two ordered pairs. •Parallel and Perpendicular Lines: Using the slope ...
Final answer: Parallel line proofs in geometry involve applying postulates and theorems regarding angles formed when parallel lines are cut by a transversal, such as the Corresponding Angles Postulate and the Alternate Interior Angles Theorem.In this example, we used the Alternate Interior Angles Theorem to prove that two angles are congruent.
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DUE: Unit 2 Review . Parallel C* Day 4 . 10/11-A : 10/15-B . More Proofs : Pg. 19-21 . DQ 3-4: Parallel D* Day 5 . 10/16-A 10/17-B . TEST . DUE: Unit 2 RUReady * Pearson's Digital Homework is due the day of the QUIZ. NO late or incomplete work will be accepted. G.2 The student will use the relationships between angles formed by two lines ...