unit 1 homework 3 angle relationships

Ms. Tecce's Math Classes: 2018 Honors Geometry

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Honors Geometry

Announcements

Due Wed, 1/16

Finish the 7 assigned Khan Academy problems

Upcoming Assessments:

Unit 7 Test Thurs, 1/10

Final Exam Wed, 1/23

Completed Reference Sheets

• HG Objects in Geometry Ref Sheet
• HG Vocabulary for Points, Lines, and Planes Ref Sheet
• HG Conditional Statements Ref Sheet
• HG Segments Ref Sheet
• HG Angles Ref Sheet
• HG Angle Relationships Ref Sheet
• HG Triangle Theorems Ref Sheet
• HG Circle Theorems Ref Shet
• HG Reasons #1 Algebraic Properties
• HG Reasons #2 Segments
• HG Reasons #3 Angles
• HG Reasons #4 Angles
• HG Reasons #5 Parallel Lines
• HG Reasons #7 Congruent Triangles

HG Unit 7 - Transformations, Congruent Triangles, and Special Quadrilaterals

Topics for Unit 7 - Transformations, Congruent Triangles, and Special Quadrilaterals

• Construct the image of a figure after a transformation using a compass, protractor, and/or ruler
• Plot the image of a figure after a transformation on a coordinate plane
• Describe a transformation in words and using coordinate notation
• Classify a transformation as an isometry
• Prove that triangles are congruent (SSS, ASA, SAS, AAS)
• Identify congruent parts of congruent triangles
• Write proofs involving congruent triangles
• Use the properties of parallelograms, rectangles, rhombuses, squares, trapezoids, and isosceles trapezoids to solve problems
• Classify a quadrilateral as a parallelogram, rectangle, rhombus, square, trapezoid, and/or isosceles trapezoid
• Apply the properties of a median of a trapezoid to solve problems
• Complete proofs involving parallelograms, rectangles, rhombuses, squares, trapezoids, and isosceles trapezoids (and congruent triangles)

Exercises in the book (all odd answers are in the back of the book):

p.501 #1-28, 36, 37            p.506 #1-17, 24-30                    p.513 #1-2, 6-9, 15, 31                     p.529 #6-8, 16-19, 26-31

p.329 #1-33, 39-44            p.337 #1-17, 20-36                p.344 #1-32, 35 

p.351 #1-8, 11-22, 30-35    p.359 #1, 3-9, 13-22, 25-26    p.370 #12-25

• HG Congruent Triangles Reference Sheet
• HG Congruent Triangles Proof Packet
• HG Congruent Triangles Proof Packet Answers (Flow proof)
• HG Congruent Triangle Proof Answers (2-column proofs)
• HG Quadrilaterals Reference Sheet
• HG Parallelogram Packet (plus more)

HG Unit 6 - Similarity & Trigonometry

Topics in Unit 6 - Similarity & Trigonometry

• Solve a proportion
• Write a ratio
• Use an extended ratio (a:b:c) to solve a problem
• Use the proportionality theorems to find missing lengths
• Determine whether two polygons are similar (check all corresponding angles are congruent and all corresponding sides are in the same ratio)
• Use similar polygons to find missing side lengths and angle measures
• Write a similarity statement for similar polygons
• Prove triangles similar (AA~, SAS~, SSS~)
• Write a proof to show triangles are similar (AA~)
• Find the scale factor for two similar polygons (and ratio of perimeters)
• Find missing side lengths of 45-45-90 triangles
• Find missing side lengths of 30-60-90 triangles
• Write trigonometric ratios
• Use trigonometry to find missing side lengths and angle measures of right triangles
• Solve word problems with trigonometry
• HG Practice Solving Proportions Answers
• HG Practice with Similar Triangles Answers
• HG Special Right Triangle Practice Answers
• HG Proving Triangles Similar Extra Practice Answers

HG Unit 5 - Circles

Topics in Unit 5 - Circles

• Identify parts of a circle (center, radius, chord, diameter, secant, tangent)
• Name a circle
• Find the circumference of a circle
• Find the area of a circle
• Find central angle and arc measures in a circle
• Find arc length and sector area
• Write the equation of a circle given a graph and/or points
• Graph a circle on a coordinate plane
• Use theorems to find missing lengths in and around a circle
• Use theorems to find angle measures
• Use theorems to find arc measures
• Use Pythagorean Theorem to find missing side lengths in a right triangle
• Use Converse of Pythagorean Theorem to classify a triangle as right, obtuse, or acute based on side lengths
• Find the midpoint, slope, and distance between two points on a coordinate plane

*All bold topics have already been covered in class.

Exercises in the Book (all odd answers are in the back of the book):

p.557 #1-52         p.567 #1-28, 32-47        p .574 #1-39                     p.583 #1-36        

p.593 #1-22         p.602 #1-26                     p.610 #1-15, 17-24         p.617 #2-32

• HG Unit 5 Review Packet
• HG Unit 5 Review Packet Answers

HG Unit 4 - Triangles

Topics in Unit 4 - Triangles

• Name a triangle and its parts (vertices, sides, interior angles)
• Classify a triangle by its angles (acute, right, obtuse, equiangular) and sides (scalene, isosceles, equilateral)
• Find unknown side lengths and angle measures based on a marked triangle
• Find unknown angle measures of a triangle (interior angles and exterior angles)
• Name a polygon by its number of sides/angles/vertices
• Use vocabulary including exterior angle, interior angle, remote interior angles, vertex angle, base angles, legs, and base)
• Understand and apply the Isosceles Triangle Theorem (and converse) to find missing angle and side measures of an isosceles triangle
• Prove that a triangle is isosceles
• Understand and apply the fact that an equilateral triangle is equiangular (and converse)
• Order the sides and/or angles of a triangle from least to greatest
• Determine whether a given set of side lengths can create a triangle
• Determine the range of possible side lengths for the third side of a triangle given the other two
• Understand and apply the Hinge Theorem to compare the side/angle measures of two triangles
• Construct the perpendicular bisector and angle bisectors of a triangle
• Understand and apply the Angle Bisector Theorem and Perpendicular Bisector Theorem to find missing measure
• Find unknown interior and exterior angle measures of convex polygons 
• Use vocabulary including convex, concave, and regular in reference to polygons

**Bold topics have already been covered in class

• HG Unit 4 Review Packet
• HG Unit 4 Review Questions Answers
• HG Extra Unit 4 Questions (with answers)

HG Unit 3 - Angles

Topics in Unit 3 - Angles

• Use vocabulary including ray, angle, vertex, congruent, bisect, and perpendicular
• Name and/or draw a ray
• Find the measure of an angle using a protractor
• Identify the vertex and sides of an angle and name the angle three different ways
• Determine the location of a point with respect to an angle (interior, exterior, or on an angle)
• Classify an angle as acute, obtuse, right, or straight
• Understand and apply the Angle Addition Postulate
• Use algebra to find missing measures of angles
• Identify and use angle relationships including vertical angles, linear pair, adjacent angles, congruent angles, complementary angles, and supplementary angles
• Prove facts involving Angle Addition Postulate, angle bisector, and other basic angle relationships
• Identify and use angle relationships including corresponding angles, alternate exterior angles, alternate interior angles, same-side interior angles, transversal, parallel lines, skew lines, and intersecting lines
• Construct angle bisectors, congruent angles, and parallel lines
• Prove facts involving angles and parallel lines

**All bold topics have already been covered in class

p.35 #1-36, 39, 45;   p.45 #1-22;    p.129 #1-15      p.145 #12-19, 24-35, 41-47       p.152 #1-30         p.175 #1-20, 23-26

• HG Objects in Geoemtry Reference Sheet
• HG Angles Reference Sheet
• HG Warm-up with Angle Measures
• HG Warm-up with Angle Measures Answers
• HG Practice with Bisectors, Complements, and Supplements Answers
• HG Angle Relationships Reference Sheet
• HG 3.2 Parallel Lines and Transversals Practice
• HG 3.2 Parallel Lines and Transversals Answers
• HG Big Angle Diagram Practice
• HG Big Angle Diagram Answers
• HG Unit 3 Review Problems
• HG Unit 3 Review Answers
• HG Unit 3 Angle Proof Practice Packet
• HG Unit 3 Angle Proof Practice Answers

HG Unit 2 - Segments

Topics in Unit 2 - Segments

• Name a segment
• Use vocabulary including line segment, endpoints, midpoint, between, congruent, bisect, and equidistant
• Find the measure of a segment using a ruler (in, cm, mm) and a grid
• Understand and apply the Segment Addition Postulate
• Use algebra to find missing measures of segments
• Use the midpoint formula to find the midpoint of points on a number line and/or coordinate plane
• Use the midpoint formula to find the missing endpoint given an endpoint and the midpoint
• Write a proof to prove facts involving line segments
• Find the perimeter of a polygon or composite figure
• Find the distance between a point and a line
• Use a compass and straight-edge to construct a segment bisector and model Segment Addition Postulate

Exercises in Book: (all odd answers are in the back of the book)

p.17 #1-3, 7-15, 22-39, 52, 53; p.25 #1-3, 5, 16, 29-50, 58, 59, 64-77; p.114 #1-4, 20; p.121 #1-3, 6-10, 16, 23-26

Assignments from this Unit:

• HG Adding Fractions Practice
• HG Practice with Segment Measures
• HG Practice with Segment Measures Answers
• HG Practice with Segments and Equations
• HG Practice with Segments and Equations Answers
• HG Midpoint Practice
• HG Midpoint Practice Answers
• HG Warm-up with Models
• HG Warm-up with Models Answers
• HG Segment Equations and Midpoints QC Answers
• HG Segment Jigsaw Proof Questions
• HG Segment Jigsaw Puzzle Answers
• HG Proving Segment Relationships Practice
• HG Proving Segment Relationships Practice Answers
• HG Extra Segment Proof Practice
• HG Extra Segment Proof Practice Answers
• HG Unit 2 Review Packet
• HG Unit 2 Review Answers

HG Unit 1 - Basics of Geometry

Topics in Unit 1: Basics of Geometry

• Name points, lines, and planes
• Model situations involving points, lines, and planes
• Use vocabulary including collinear, noncollinear, coplanar, conjecture , intersect, parallel, between, and perpendicular
• Make a conjecture about the next item in a sequence.
• Write a conditional statement in if-then form and identify the hypothesis and conclusion
• Write the converse, inverse, and contrapositive of a conditional statement
• Determine if a conjecture if true or false (and provide a counterexample if false)
• Recognize Reflexive, Symmetric, and Transitive properties
• Complete an Algebraic Proof (citing the "Reasons")

**All bold concepts have already been covered in class.

Assignments:

Due 8/31: Add yourself to the Google Classroom and submit answers to the posted questions ... Class Code:  v48omk

Due 9/5: Complete "Points and Lines Practice" and "Intersecting Planes Activity"

Due 9/7: Submit definitions for each of the related conditional statements through the Google Classroom

Due 9/12: Complete the "Practice with Algebraic Properties" and "Unit 1 Review Packet"

Extra Textbook Questions for Unit 1: (all odd answers are in the back of the textbook)

p.9 #1-34;  p.80 #1-2, 4, 7-18, 26, 27, 29, 31-35, 37, 38;  p.88 #25-31, 42-47; p.94 #1-47, 49, 70-72; p.101 #3-5, 9-12, 17, 21, 25, 26;  p.108 #17-20;  p.114 #1, 2, 4, 6, 8-20, 22-26, 36-42

• HG Points and Lines Practice
• HG Points, Lines, and Planes Practice
• HG Points, Lines, and Planes Practice Answers
• HG Warm-up #1 with Hearts
• HG Warm-up #1 with Hearts Answers
• HG Inductive Reasoning Practice
• HG Inductive Reasoning Practice Answers *#3 should say -192
• HG Conditional Statements Practice
• HG Conditional Statements Practice Answers
• HG Practice with Deductive Reasoning
• HG Practice with Deductive Reasoning Answers
• HG Practice with Algebraic Properties
• HG Practice with Algebraic Properties Answers
• HG Unit 1 Review Questions
• HG Unit 1 Review Questions Answers
• HG More Algebraic Proof Practice (with Answers) Difficult proof questions like today's class
• HG Unit 1 Test from 2017
• HG Unit 1 Test from 2017 Answers

Course Information

• Honors Geometry Course Expectations
• Classroom Rules
• Last Updated: Feb 8, 2021 2:44 PM
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Homework 3 Angle Relationships

Displaying top 8 worksheets found for - Homework 3 Angle Relationships .

Some of the worksheets for this concept are Name the relationship complementary linear pair, Name the relationship complementary supplementary, Exterior angles of a triangle 4 directions, Geometry of the circle, Angle relationship interiorexterior s1, Lesson 1 complementary and supplementary angles, Angle relationship transversal s1, Angle relationships in circles.

Found worksheet you are looking for? To download/print, click on pop-out icon or print icon to worksheet to print or download. Worksheet will open in a new window. You can & download or print using the browser document reader options.

1. Name the relationship: complementary, linear pair ...

2. name the relationship: complementary, supplementary ..., 3. exterior angles of a triangle #4 directions, 4. geometry of the circle, 5. angle relationship interior/exterior: s1, 6. lesson 1 complementary and supplementary angles, 7. angle relationship transversal: s1, 8. 10.5 angle relationships in circles.

• Kindergarten
• Greater Than Less Than
• Measurement
• Multiplication
• Place Value
• Subtraction
• Punctuation
• 1st Grade Reading
• 2nd Grade Reading
• 3rd Grade Reading
• Cursive Writing

Unit 1 Geometry Basics Homework 3 Angle Relationships

Unit 1 Geometry Basics Homework 3 Angle Relationships - Displaying top 8 worksheets found for this concept.

Some of the worksheets for this concept are Gina wilson unit 1 geometery basics, Unit 1 lesson 2 geometry answer key, Geometry unit 1 workbook, Tools of geometry chapter 1 all in one teaching resources, Unit 1 tools of geometry reasoning and proof, Tools of geometry chapter 1 all in one teaching resources, 10 tools of geometry chapter 1 all in one teaching, The ultimate geometry review with common core goodness.

Found worksheet you are looking for? To download/print, click on pop-out icon or print icon to worksheet to print or download. Worksheet will open in a new window. You can & download or print using the browser document reader options.

1. Gina Wilson Unit 1 Geometery Basics

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Geometry Basics (Geometry Curriculum - Unit 1) | All Things Algebra®

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Description

This Geometry Basics Unit Bundle contains guided notes, homework assignments, three quizzes, dictionary, study guide and a unit test that cover the following topics:

• Points, Lines, and Planes

• Segment Addition Postulate

• The Distance Formula

• The Midpoint Formula

• Partitioning a Segment

• Naming and Classifying Angles

• Angle Addition Postulate

• Angle Relationships (Adjacent, Vertical, Complementary, Supplementary, Linear Pair)

• Solving for Missing Measures using Algebra

• Special Relationships: Perpendicular and Angle Bisectors

• Constructions (Perpendicular bisectors, perpendicular line through a point on the line, perpendicular line through a point not on the line, line parallel to a given line through a given point, angle bisector, congruent angles)

Note: This unit was updated on 8/25/19 to include partitioning a segment. If you do not teach this topic, I included the old unit without this topic in the download as well.

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 2 – Logic and Proof

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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