Chapter 6 - Relationships with Triangles
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Chapter 6: Section Outline
Chapter 6: Section Outline
6.1 Perpendicular and Angle Bisectors
6.2 Bisectors of Triangles
6.3 Medians and Altitudes of Triangles
6.4 The Triangle Midsegment Theorem
6.5 Indirect Proof and Inequalities in One Triangle
Section Objectives
Section Objectives
6.1 – Perpendicular and Angle Bisectors
Students will explore and apply properties of perpendicular bisectors and angle bisectors, and identify points equidistant from sides and vertices of triangles (G.6A, G.6B).
6.2 – Bisectors of Triangles
Students will identify and construct perpendicular and angle bisectors in triangles and use their properties to find segment and angle measures (G.4B, G.6A).
6.3 – Medians and Altitudes of Triangles
Students will identify medians and altitudes of triangles and describe the properties of their points of concurrency (G.6A, G.4B).
6.4 – The Triangle Midsegment Theorem
Students will use the Triangle Midsegment Theorem to identify and apply relationships between the midsegment and the third side of a triangle (G.6A, G.5A).
6.5 – Indirect Proof and Inequalities in One Triangle
Students will write indirect proofs and apply properties of inequalities to compare side lengths and angle measures within a triangle (G.6A, G.5C).
TABLE OF CONTENTS:
TABLE OF CONTENTS:
📚 Not sure where to start? Click the section titles to access lessons, practice, and tools in one click.
📚 Not sure where to start? Click the section titles to access lessons, practice, and tools in one click.
Note Library
Note Library
Need a fresh copy of your notes? Click the buttons to download a PDF for each section.
Need a fresh copy of your notes? Click the buttons to download a PDF for each section.
These are the same guided notes we use in class—perfect for staying organized or catching up after an absence.
Independent Practice
Independent Practice
Practice assignments will appear here after we complete each lesson.
Practice assignments will appear here after we complete each lesson.
They may be worksheets or textbook problems, depending on the topic. Check back regularly to stay on track—no early access to homework! The expectation is if you do not finish this in class you are finishing it at home!
💡 Remember: Always attempt the work on your own before checking the answers. These keys are here to support your learning—not replace it!
Find the key by scrolling to the right!
Textbook Library
Textbook Library
Access the textbook pages we’re using in class by clicking the buttons.
Access the textbook pages we’re using in class by clicking the buttons.
These pages match your Big Ideas Math textbook and are great for reviewing examples, completing assignments, or getting extra practice at home.
Video Resources
Video Resources
Watch the videos linked below for step-by-step examples, topic reviews, and helpful tips.
These videos align with what we’re learning in class and are great for getting ahead, extra support, review, or catching up if you’ve been absent.
Geo_6.1_6.2.mp46.1 / 6.2
HG+6.3+Medians+and+Altitudes.mp46.3
Lesson_6.4-6.6.wmv6.4 / 6.5
Note Answer Keys
Note Answer Keys
Missed something in class or were absent? Answer keys will be posted here at the end of the day we complete a lesson.
Missed something in class or were absent? Answer keys will be posted here at the end of the day we complete a lesson.
Use them to review, fill in anything you missed, and make sure your notes are complete and accurate.
Click on the section titles to jump to the notes you need. You can scroll through without opening a new window. Slides also include a home button to return to the main page for easy navigation.
Extra Materials & Resources
Extra Materials & Resources
Looking for more ways to practice or dive deeper? This section includes optional review sheets, helpful videos, challenge problems, formula reference pages, and other helpful tools to support your success in Algebra 1. Use these resources to strengthen your understanding or get ahead!
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