unit 3 homework 1 parallel lines and transversals

Chapter 3, Lesson 1: Parallel Lines and Transversals

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Chapter 3, Lesson 1: Parallel Lines and Transversals

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Geometry Unit 3: Parallel and Perpendicular Lines

The Geometry Unit 3: Parallel and Perpendicular Lines Unit Module contains seven lessons, each with a video, teacher reference, practice packets and solutions, and corrective assignments. In the first lesson, pupils learn eight definitions dealing with types of lines and angles formed when another line crosses two lines. The second lesson focuses on the relationships of angles when a transversal intersects two parallel lines. Using algebraic skills, individuals calculate the measures of angles in figures. Next, scholars learn the converses of the properties of parallel lines. Using the converses, they determine which lines are parallel based on angle measurements and practice using a flow proof. Lesson four presents two theorems dealing with the angles of a triangle. Pupils learn about the Triangle Sum Theorem and the Exterior Angle Theorem and then apply the theorems to create equations and find missing angles. They also review graphing and writing the equations of lines in slope-intercept form. In lesson six, learners discover the relationship between slopes of parallel and perpendicular lines and use that information to find equations of lines through a given point that is either parallel or perpendicular to a given line. To end the unit, scholars watch a quick review on the Parallel and Perpendicular Lines unit. They then work through ten review problems ranging from identifying angles formed by parallel lines and transversals to writing equations of parallel and perpendicular lines.

Common Core

Lines and Angles

Lines and Angles (.html)

Practice packet (.pdf), practice solutions (.pdf), corrective assignment (.pdf).

Properties of Parallel Lines

Properties of parallel lines (.html).

Proving Lines Parallel

Proving lines parallel (.html).

Parallel Lines and Triangles

Parallel lines and triangles (.html).

Equations of Lines in the Coordinate Plane

Equations of lines in the coordinate plane (.html).

Slopes of Parallel and Perpendicular Lines

Slopes of parallel and perpendicular lines (.html).

Unit 3 Review: Parallell and Perpendicular Lines

Unit 3 review: parallel and perpendicular lines (.html), unit 3 algebra review, unit 3 review: parallel and perpendicular lines (.pdf).

Chapter 3 Lesson 1 - Parallel Lines and Transversals

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Alternate exterior angles are congruent. Formally, alternate exterior angles are defined as two exterior angles on opposite sides of a transversal which lie on different parallel lines. Parallel lines cut by a transversal. Choose matching term 1 parallel planes 2 skew lines 3 alternate interior angles 4 alternate exterior angles Don't know?

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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