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

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 homework answer key

About This Course

Welcome to the Math Medic Geometry course! Here you will find a ready-to-be-taught lesson for every day of the school year, along with expert tips and questioning techniques to help the lesson be successful. Each lesson is designed to be taught in an Experience First, Formalize Later (EFFL) approach, in which students work in small groups on an engaging activity before the teacher formalizes the learning.

Our Geometry course develops reasoning, justification, and proof skills through an in-depth study of shapes and their properties, rigid transformations and congruence, and the relationship between similarity and right triangle trigonometry. Rich opportunities for problem solving culminate in the unit on surface area and volume. This course was created using the Common Core State Standards as a guide. The standards taught in each Math Medic Geometry lesson can be found here . Additionally, we've chosen to include a unit on Statistics and Probability that can be used as a stand-alone unit at any time during high school course work. The unit overviews and learning targets for the Math Medic Geometry course can be found here .

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geometry unit 3 homework answer key

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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IMAGES

  1. SOLUTION: Unit 3 Providing Lines are Parallel Worksheet

    geometry unit 3 homework answer key

  2. Unit 3 Homework 2.pdf

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  3. Worksheet 12-3 Inscribed Angles Answer Key

    geometry unit 3 homework answer key

  4. Two Parallel Lines Cut By A Transversal Worksheet Answer Key

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  5. Homework 3 Proving Lines Parallel Answer Key

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  6. Lesson 2 Homework Practice Geometric Proof Answer Key

    geometry unit 3 homework answer key

VIDEO

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COMMENTS

  1. PDF Unit 3

    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 ...

  2. N-Gen Math™ Geometry

    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.

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    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 ...

  5. Unit 3 Parallel and Perpendicular Lines

    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

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  7. Parallel and Perpendicular Lines (Geometry

    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 ...

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    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.

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    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.

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    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.

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