Parallel and Perpendicular Lines (Geometry - Unit 3) | All Things Algebra®
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Description
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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Dilating Lines and Angles
Angle \(ABC\) is taken by a dilation with center \(P\) and scale factor 3 to angle \(A’B’C’\) . The measure of angle \(ABC\) is \(21^\circ\) . What is the measure of angle \(A’B’C’\) ?
For access, consult one of our IM Certified Partners .
Select all lines that could be the image of line \(m\) by a dilation.
![Expand image Expand image](https://curriculum.illustrativemathematics.org/assets/expand-9ef5655e2d1b5ba286de1390c97f4243f15e264c89106027f5d071073ab562bb.png)
Dilate line \(f\) with a scale factor of 2. The image is line \(g\) . Which labeled point could be the center of this dilation?
Description: <p>Line f with point C to the right of the center. Line g above line f with point B to the right of the center. Point A is above line g and to the left of point B. Point D is below line f and to the left of point C.</p>
Quadrilateral \(A’B’C’E’\) is the image of quadrilateral \(ABCE\) after a dilation centered at \(F\) . What is the scale factor of this dilation?
Description: <p>Quadrilaterals A B C E and A prime B prime C prime E prime. Side lengths as follows: A B, 3. B C 6, C E, 5. E A, unlabeled. A prime B prime, 1 point 5. B prime C prime, 3. C prime E prime, 2 point 5. E prime A prime, unlabeled.<br> </p>
A polygon has a perimeter of 18 units. It is dilated with a scale factor of \(\frac32\) . What is the perimeter of its image?
Solve the equation.
\(\frac{4}{7}=\frac{10}{x}\)
Here are some measurements for triangle \(ABC \) and triangle \(XYZ\) :
- Angle \(CAB\) and angle \(ZXY\) are both 30 degrees
- \(AC\) and \(XZ\) both measure 3 units
- \(CB\) and \(ZY\) both measure 2 units
Andre thinks thinks these triangles must be congruent. Clare says she knows they might not be congruent. Construct 2 triangles with the given measurements that aren't congruent. Explain why triangles with 3 congruent parts aren't necessarily congruent.
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Geometry Unit 3 Parallel and Perpendicular Lines
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Unit 5 – The Tools of Coordinate Geometry
Slope and Parallelism
LESSON/HOMEWORK
LESSON VIDEO
EDITABLE LESSON
EDITABLE KEY
Slope and Perpendicularity
Equations of Lines
The Point-Slope Form of a Line
Horizontal and Vertical Lines
The Pythagorean Theorem (Review)
The Distance Formula
The Midpoint Formula
Rotations in the Coordinate Plane
Reflections in the Coordinate Plane
Translations in the Coordinate Plane
Unit Review
Unit 5 Review – The Tools of Coordinate Geometry
UNIT REVIEW
EDITABLE REVIEW
Unit 5 Assessment Form A
EDITABLE ASSESSMENT
Unit 5 Assessment Form B
Unit 5 Assessment Form C
Unit 5 Assessment Form D
Unit 5 Exit Tickets
Unit 5 Mid-Unit Quiz (After Lesson #5) – Form A
Unit 5 Mid-Unit Quiz (After Lesson #5) – Form B
Unit 5 Mid-Unit Quiz (After Lesson #5) – Form C
Unit 5 Mid-Unit Quiz (After Lesson #5) – Form D
U05.AO.01 – Coordinate Geometry Formula Practice (After Lesson 8)
EDITABLE RESOURCE
U05.AO.02 – Point-Slope Form Additional Practice
U05.AO.03 – Practice with Sequences of Rigid Motions
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Name all alternate interior angles. 4.3 41 ana 41.4 Name all alternate exterior angles. 42 and 13 zl.z 47 ... Unit 3 - Parallel & Perpendicular Lines Homework KEY.pdf Created Date: 9/27/2020 9:50:10 PM ...
Unit 1 - Beginning Concepts. Unit 2 - Rigid Motions and Congruence. Unit 3 - Euclidean Triangle Geometry. Unit 4 - Constructions. Unit 5 - Coordinate Geometry. Unit 6 - Quadrilaterals. Unit 7 - Dilations and Similarity. Unit 8 - Right Triangle Trigonometry. Unit 9 - Circle Geometry.
Find step-by-step solutions and answers to Geometry Common Core - 9780133185829, as well as thousands of textbooks so you can move forward with confidence. ... Nets and Drawings for Visualizing Geometry. Section 1-2: Points, Lines, and Planes. Section 1-3: Measuring Segments. Section 1-4: Measuring Angles. Section 1-5: Exploring Angle Pairs ...
DAY 4 Quiz 3-1 None DAY 5 Proving Lines are Parallel (Converses) C) HW #3 DAY 6 Parallel Line Proofs HW #4 DAY 7 Quiz 3-2 None DAY 8 Slope Review; Parallel vs. Perpendicular HW #5 DAY 9 Equations of Lines: Slope-Intercept & Standard Form HW #6 DAY 10 Equations of Lines: Point-Slope Form HW #7 DAY 11 Quiz 3-3 None DAY 12 Unit 3 Review Study for ...
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
Our resource for Geometry: Homework Practice Workbook includes answers to chapter exercises, as well as detailed information to walk you through the process step by step. With Expert Solutions for thousands of practice problems, you can take the guesswork out of studying and move forward with confidence. Find step-by-step solutions and answers ...
Description. This Parallel and Perpendicular Lines Unit Bundlecontains 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 ...
Big Ideas Math Geometry: A Common Core Curriculum. 1st Edition • ISBN: 9781608408399 Boswell, Larson. 4,072 solutions. Get your Geometry homework done with Quizlet! Browse through thousands of step-by-step solutions to end-of-chapter questions from the most popular Geometry textbooks. It's never been a better time to #LearnOn.
Unit 1 Lines. Unit 2 Angles. Unit 3 Shapes. Unit 4 Triangles. Unit 5 Quadrilaterals. Unit 6 Coordinate plane. Unit 7 Area and perimeter. Unit 8 Volume and surface area. Unit 9 Pythagorean theorem.
Advanced Math questions and answers. Name: Unit 3: Parallel & Perpendicular Lines Homework 1. Parallel Lines & Transversals Date: Per: 2 ** This is a 2-page document ** 1. Use the diagram below to answer the following questions. a) Name all segments parallel to XT. b) Name all segments parallel to ZY. c) Name all segments parallel to Vs.
Angle and angle are both 30 degrees. and both measure 3 units. and both measure 2 units. Andre thinks thinks these triangles must be congruent. Clare says she knows they might not be congruent. Construct 2 triangles with the given measurements that aren't congruent. Explain why triangles with 3 congruent parts aren't necessarily congruent.
Special right triangles. Triangle similarity review. Introduction to triangle similarity. Laws of sines and cosines review. Solving general triangles. Community questions. Learn high school geometry—transformations, congruence, similarity, trigonometry, analytic geometry, and more. (aligned with Common Core standards)
Transversal. A line that intersects two distinct lines. These two may or may not be parallel. Vertical Angle Theorem. vertical angles are congruent. vertical angles definition. A pair of opposite congruent angles formed by intersecting lines. Parallel and perpendicular lines Learn with flashcards, games, and more — for free.
AB 24. mZQSP CD mZQSR O Gina Wilson (All Things Algebra), 2014. Name: Date: Unit 5: Relationships in Triangles Homæork 7: Triangle Inequalities & Algebra ** This is a 2-page documenU ** Directions: If the sidæ of a triangle have the following lewths, find a rangeof Sible values for x. 1. PO=7x+ 13, 101-2, PR = x + 27 Range of Values: x + 40 ...
Home / For Teachers / Common Core Geometry / Unit 3 - Euclidean Triangle Proof. Unit 3 - Euclidean Triangle Proof. Lesson 1 Drawing Inferences from Givens. LESSON/HOMEWORK. LESSON VIDEO. ANSWER KEY. EDITABLE LESSON. EDITABLE KEY. Lesson 2 ... please credit us as follows on all assignment and answer key pages: "This assignment is a teacher ...
The unit overviews and learning targets for the Math Medic Geometry course can be found here. Units. Unit 1: Reasoning in Geometry. Unit 2: Building Blocks of Geometry. Unit 3: Congruence Transformations. Unit 4: Triangles and Proof. Unit 5: Quadrilaterals and Other Polygons. Unit 6: Similarity.
Georgia Milestones Assessment System Test Prep: Grade 3 English Language Arts Literacy (ELA) Practice Workbook and Full-length Online Assessments: GMAS Study Guide. Lumos Learning. 3. 2017. ACT Aspire Test Prep: 3rd Grade Math Practice Workbook and Full-length Online Assessments: ACT Aspire Study Guide. Lumos Learning.
Unit 8 - Right Triangles & Trigonometry. 9. A 35-foot wire is secured from the top of a flagpole to a stake in the ground. If the stake is 14 feet from the base of the flagpole, how tall is the flagpole? = 362 1225 32-1 10. If the diagonal of a square is I I .3 meters, approximately what is the perimeter of the square? 1 2-7.71 peri me-er- - 103.
Terms in this set (56) Parallel Lines. two lines in the same plane that never intersect each other. Skew Lines. two non-parallel lines lying in different planes that never intersect each other. Transversal. A line that intersects two or more coplanar lines at different points. Angles Formed by Transversal. Alternate Interior Angles.
Unit 10: Circles Homework 1: Parts of a Circle, Area & Circumference ** This is a 2-page document! ** 1. Give an example of each circle part using the diagram below. a) Center: b) Radius: c) Chord: d) Diameter: e) Secant: f) Tangent: g) Point of Tangency: Directions: Find the area and circumference of each circle below. q 3.qqm ¥ h) Minor Arc: I
Home / For Teachers / N-Gen Math™ Geometry / Unit 3 - Euclidean Triangle ... Lesson 1 The Triangle Inequality. LESSON/HOMEWORK. LESSON VIDEO. ANSWER KEY. EDITABLE LESSON. EDITABLE KEY. SMART NOTEBOOK. Lesson 2 Congruent Triangles. ... please credit us as follows on all assignment and answer key pages: "This assignment is a teacher ...
Unit 7: Polygons & Quadrilaterals Homework 1: Angles of Polygons ** This is a 2-page document! ** 1, What is the sum of the measures of the interior argles of an octagon? 2. What is the sum of the measures of the interior angles of a 25-gon? q D 3. What is the measure of each interior angle of a regular hexagon? 4.
Home / For Teachers / N-Gen Math Algebra I / Unit 3 - Functions. Unit 3 - Functions. Lesson 1 Sets of Numbers. LESSON/HOMEWORK. ... LESSON/HOMEWORK. LECCIÓN/TAREA. LESSON VIDEO. ANSWER KEY. EDITABLE LESSON. EDITABLE KEY. SMART NOTEBOOK ... please credit us as follows on all assignment and answer key pages: "This assignment is a teacher ...
Unit 5 Mid-Unit Quiz (After Lesson #5) - Form D. ASSESSMENT. ANSWER KEY. EDITABLE ASSESSMENT. EDITABLE KEY. Add-on. U05.AO.01 - Coordinate Geometry Formula Practice (After Lesson 8) RESOURCE.