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Geometry Notes Unit 6.5: Proof by Contradiction & Inequalities in One Triangle
Section 6.5: Proof by Contradiction & Inequalities in One Triangle Part 1: Proof by ContradictionWhat is a Proof by Contradiction?In a proof by contradictionThe 3 Steps to Writing a Proof by ContradictionExample #1: Writing a Proof by ContradictionTheorem: A triangle can have at most one right angle. Part 2: Relating Sides and Angles of a Triangle*Common Error Alert6.9 Triangle Longer Side Theorem6.10 Triangle Larger Angle TheoremPart 3: The Triangle Inequality Theorem 6.11Exercises Answer Key
8th - 10th
Geometry, Math Test Prep, Other (Math)
Geometry Notes Unit 6.3: Medians and Altitudes of Triangles
Summary of What's Inside:Part 1: Medians of a Triangle — Clear blanks for defining median and centroid, alongside the Centroid Theorem equations and a structured scratch space for solving Example 1.Part 2: Altitudes of a Triangle — A broken-down, step-by-step framework for calculating coordinates of an orthocenter algebraically (matching the exact methodology from your notes).Part 3: Concept Summary Table — A complete matrix summarizing all 4 critical triangle segments (Perpendicular Bisectors,
8th - 10th
Geometry, Math Test Prep, Other (Math)
Simplifying Square Roots (Radicals) & Other Roots NOTES | ACT Practice Worksheet
Simplifying Square Roots (Radicals) & Other Roots NOTES | ACT PracticeWhether it's the first time students are trying to learn how to simplify radicals (square roots and other roots) or students simply need a refresher, this resource can help!The notes page contains 21 examples covering the following types:perfect squares/cubessimplifying non-perfect squaressimplifying roots with variablesadding/subtracting like radicalsadding/subtracting unlike radicalsmultiplying radicalsdividing radicalsrewri
9th - 12th
Algebra, Algebra 2, Math Test Prep
CCSS
HSN-RN.A.1
, HSN-RN.A.2
, HSN-RN.B.3
+1
Also included in: ACT MATH PREP Notes & ACT Practice Worksheets GROWING BUNDLE w Videos
Geometry Notes Unit 6.2: Bisectors of Triangles
Document Previews & Visual References1. Perpendicular Bisectors & The 1.Circumcenter2.Angle Bisectors & The Incenter3. Medians & The CentroidA median connects a vertex directly to the midpoint of the opposite side. 4. Student Exercises5. Answer key
8th - 10th
Geometry, Math Test Prep, Other (Math)
Geometry Notes Unit 7.1: Angles of Polygons
What’s Included in the Student PDF:Terminology Blocks: Dashed fill-in lines for critical terms like consecutive vertices, nonconsecutive vertices, and the triangular breakdown of an n-gon.Formula Breakdowns: Blanks embedded straight into the formulas for the Polygon Interior Angles Theorem, Regular Pyramid Surface Area, and Right Cone Surface Area so students actively write down what variables mean.Structured Workspaces: Boxed workspace areas with light dashed lines give students dedicated space
8th - 10th
Geometry, Math Test Prep, Other (Math)
Geometry Notes all Unit 6
Document Highlights:Comprehensive Unit-by-Unit Flow: Integrates sections 6.1 through 6.6 seamlessly (Perpendicular/Angle Bisectors, Circumcenter/Incenter Theorems, Medians & Altitudes, Triangle Midsegments, One-Triangle Inequalities with Contradiction Proofs, and the Hinge Theorem).Completed Content: All interactive elements, including fill-in-the-blank spaces, conceptual examples, step-by-step solutions, and homework verification keys, have been explicitly calculated.Embedded Vector Graphics (S
8th - 10th
Geometry, Math Test Prep, Other (Math)
Geometry Notes Unit 7.3: Proving that a Quadrilateral is a Parallelogram
How these notes are organized for your class layout:Student/Class Info Headers: Placed entry lines at the top for Student Name, Date, and Class Period.Theorem 1: Parallelogram Opposite Sides Converse: Structured out the definition statement with blanks over the key actionable math words (opposite, congruent, parallelogram), paired alongside a drafting box for students to follow along and sketch the shapes/hash marks while labeling the conditional equation: If AB ≅ ___ and ___ ≅ DA, then ABCD is
8th - 10th
Geometry, Math Test Prep, Other (Math)
Geometry Notes Unit 6.6: Inequalities in Two Triangles
Geometry Section 6.6: Inequalities in Two TrianglesKey Features Included:Structured Fill-in-the-Blanks: Crucial terms, mathematical relationships (such as inequalities), theorem names, and geometric proofs have been replaced with clear underline blanks (_______) for students to complete during a lecture.Theorem Breakouts: Dedicated styled layout boxes for Theorem 6.13 (Hinge Theorem) and its Converse, complete with space to practice stating the numeric conclusions.Formal Two-Column Proof Study:
8th - 10th
Geometry, Math Test Prep, Other (Math)
Geometry Notes for Semester 1: Unit 1 to Unit 6
What's Included in the Geometry Notes for Semester 1:Unit 1: Foundations of Geometry: Core vocabulary table (Points, Lines, Planes), 1D/2D Distance formulas, Midpoint theorem, algebraic segment bisector examples, and coordinate calculation exercises.Unit 2: Logic and Geometric Proofs: Conditional statements, converse, inverse, contrapositive definitions, properties of equality, and missing-reason algebraic proofs.Unit 3: Parallel and Perpendicular Lines: Transversal angular networks (Correspondi
8th - 10th
Geometry, Math Test Prep, Other (Math)
Geometry Notes Unit 7.2: Properties of Parallelograms
Final Document Summary:Section 1 (7.2 Properties of Parallelograms): Full set of lecture fill-in-the-blanks covering core definitions, the 4 major properties (opposite sides, opposite angles, consecutive angles, and bisecting diagonals), and structural templates for Examples 1–3.Section 2 & 3 (Polygon Angle Theorems & Special Types): Interactive formula blocks for the Polygon Interior Angles Theorem, side/angle sum practice lines for the nonagon through 20-gon, and clean classification fields fo
8th - 10th
Geometry, Math Test Prep, Other (Math)
Geometry Notes Unit 6.2: Bisectors of Triangles
Geometry Notes Unit 6.2: Bisectors of TrianglesHighlights of the Guided Notes Layout:Student-Friendly Blank Blanks: Crucial terms (e.g., concurrent lines, incenter, equidistant) are left as clean, fill-in-the-blank slots to keep students actively engaged during your lecture.Theorem & Vocabulary Formatting: Core geometry terms and theorems are grouped into structured, colored callout boxes (blue for theorems, slate gray for vocabulary, and light orange for step-by-step examples).Polished Math Exp
8th - 10th
Geometry, Math Test Prep, Other (Math)
Geometry Notes Unit 6.4: The Triangle Midsegment Theorem
6.4 The Triangle Midsegment Theoremmidsegment The Triangle Midsegment TheoremAlgebraic RelationshipUsing Midsegments in the Coordinate PlaneExercisesAnswer Key
8th - 10th
Geometry, Math Test Prep, Other (Math)
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