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Geometry Proofs: Help & Tutorials

Course Summary

This Geometry Proofs: Help and Review course is designed to help you reinforce what you know or learn new facts about geometric proof concepts and applications. Use these video lessons to study for tests, complete homework assignments or clarify any topic you might be struggling with in class.
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5 chapters in Geometry Proofs: Help & Tutorials

Course Practice Test

Check your knowledge of this course with a 50-question practice test.
  • Comprehensive test covering all topics
  • Detailed video explanations for wrong answers
Week {{::cp.getGoalWeekForTopic(0, 5)}}
Ch 1. Fundamentals of Geometry Proofs {{cp.topicAssetIdToProgress[44869].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - Euclid's Axiomatic Geometry: Developments & Postulates Score: {{cp.lessonAssetIdToProgress[14514].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14514].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[14514].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14514].bestScoreQuestions}}  Take Quiz Optional
Lesson 2 - Inductive & Deductive Reasoning in Geometry: Definition & Uses Score: {{cp.lessonAssetIdToProgress[14511].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14511].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[14511].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14511].bestScoreQuestions}}  Take Quiz Optional
Lesson 3 - Properties and Postulates of Geometric Figures Score: {{cp.lessonAssetIdToProgress[14516].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14516].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[14516].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14516].bestScoreQuestions}}  Take Quiz Optional
Lesson 4 - Algebraic Laws and Geometric Postulates Score: {{cp.lessonAssetIdToProgress[14517].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14517].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[14517].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14517].bestScoreQuestions}}  Take Quiz Optional
Lesson 5 - Critical Thinking and Logic in Mathematics Score: {{cp.lessonAssetIdToProgress[2372].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[2372].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[2372].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[2372].bestScoreQuestions}}  Take Quiz Optional
Lesson 6 - Logic Laws: Converse, Inverse, Contrapositive & Counterexample Score: {{cp.lessonAssetIdToProgress[2376].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[2376].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[2376].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[2376].bestScoreQuestions}}  Take Quiz Optional
Lesson 7 - Converse of a Statement: Explanation and Example Score: {{cp.lessonAssetIdToProgress[14435].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14435].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[14435].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14435].bestScoreQuestions}}  Take Quiz Optional
Lesson 8 - Direct Proofs: Definition and Applications Score: {{cp.lessonAssetIdToProgress[14896].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14896].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[14896].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14896].bestScoreQuestions}}  Take Quiz Optional
Lesson 9 - Geometric Proofs: Definition and Format Score: {{cp.lessonAssetIdToProgress[14897].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14897].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[14897].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14897].bestScoreQuestions}}  Take Quiz Optional
Lesson 10 - Who is Euclid? - Biography, Contribution & Theorems Score: {{cp.lessonAssetIdToProgress[9878].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[9878].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[9878].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[9878].bestScoreQuestions}}  Take Quiz Optional
Week {{::cp.getGoalWeekForTopic(1, 5)}}
Ch 2. Parallel Line Proofs in Geometry {{cp.topicAssetIdToProgress[44870].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - Parallel, Perpendicular and Transverse Lines Score: {{cp.lessonAssetIdToProgress[2406].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[2406].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[2406].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[2406].bestScoreQuestions}}  Take Quiz Optional
Lesson 2 - Angles Formed by a Transversal Score: {{cp.lessonAssetIdToProgress[13676].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[13676].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[13676].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[13676].bestScoreQuestions}}  Take Quiz Optional
Lesson 3 - Parallel Lines: How to Prove Lines Are Parallel Score: {{cp.lessonAssetIdToProgress[13677].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[13677].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[13677].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[13677].bestScoreQuestions}}  Take Quiz Optional
Lesson 4 - Using Converse Statements to Prove Lines Are Parallel Score: {{cp.lessonAssetIdToProgress[13678].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[13678].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[13678].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[13678].bestScoreQuestions}}  Take Quiz Optional
Lesson 5 - The Parallel Postulate: Definition & Examples Score: {{cp.lessonAssetIdToProgress[13675].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[13675].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[13675].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[13675].bestScoreQuestions}}  Take Quiz Optional
Week {{::cp.getGoalWeekForTopic(2, 5)}}
Ch 3. Similar & Congruent Triangle Proofs in Geometry {{cp.topicAssetIdToProgress[44871].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - Triangle Proportionality Theorem Score: {{cp.lessonAssetIdToProgress[14099].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14099].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[14099].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14099].bestScoreQuestions}}  Take Quiz Optional
Lesson 2 - The Transitive Property of Similar Triangles Score: {{cp.lessonAssetIdToProgress[14098].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14098].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[14098].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14098].bestScoreQuestions}}  Take Quiz Optional
Lesson 3 - How to Identify Similar Triangles Score: {{cp.lessonAssetIdToProgress[2404].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[2404].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[2404].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[2404].bestScoreQuestions}}  Take Quiz Optional
Lesson 4 - Applications of Similar Triangles Score: {{cp.lessonAssetIdToProgress[2405].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[2405].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[2405].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[2405].bestScoreQuestions}}  Take Quiz Optional
Lesson 5 - Angle Bisector Theorem: Proof and Example Score: {{cp.lessonAssetIdToProgress[14440].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14440].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[14440].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14440].bestScoreQuestions}}  Take Quiz Optional
Lesson 6 - Triangle Congruence Postulates: SAS, ASA & SSS Score: {{cp.lessonAssetIdToProgress[14433].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14433].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[14433].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14433].bestScoreQuestions}}  Take Quiz Optional
Lesson 7 - Perpendicular Bisector Theorem: Proof and Example Score: {{cp.lessonAssetIdToProgress[14439].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14439].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[14439].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14439].bestScoreQuestions}}  Take Quiz Optional
Lesson 8 - Congruence Proofs: Corresponding Parts of Congruent Triangles Score: {{cp.lessonAssetIdToProgress[14434].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14434].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[14434].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14434].bestScoreQuestions}}  Take Quiz Optional
Lesson 9 - The AAS (Angle-Angle-Side) Theorem: Proof and Examples Score: {{cp.lessonAssetIdToProgress[14436].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14436].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[14436].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14436].bestScoreQuestions}}  Take Quiz Optional
Lesson 10 - Congruency of Isosceles Triangles: Proving the Theorem Score: {{cp.lessonAssetIdToProgress[14442].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14442].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[14442].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14442].bestScoreQuestions}}  Take Quiz Optional
Week {{::cp.getGoalWeekForTopic(3, 5)}}
Ch 4. Right Triangles Proofs in Geometry {{cp.topicAssetIdToProgress[44872].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - Properties of Right Triangles: Theorems & Proofs Score: {{cp.lessonAssetIdToProgress[14101].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14101].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[14101].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14101].bestScoreQuestions}}  Take Quiz Optional
Lesson 2 - Special Right Triangles: Types and Properties Score: {{cp.lessonAssetIdToProgress[14201].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14201].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[14201].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14201].bestScoreQuestions}}  Take Quiz Optional
Lesson 3 - The Pythagorean Theorem: Practice and Application Score: {{cp.lessonAssetIdToProgress[2403].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[2403].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[2403].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[2403].bestScoreQuestions}}  Take Quiz Optional
Lesson 4 - The Pythagorean Theorem: Converse and Special Cases Score: {{cp.lessonAssetIdToProgress[14102].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14102].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[14102].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14102].bestScoreQuestions}}  Take Quiz Optional
Lesson 5 - The HA (Hypotenuse Angle) Theorem: Proof, Explanation, & Examples Score: {{cp.lessonAssetIdToProgress[14437].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14437].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[14437].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14437].bestScoreQuestions}}  Take Quiz Optional
Lesson 6 - The HL (Hypotenuse Leg) Theorem: Definition, Proof, & Examples Score: {{cp.lessonAssetIdToProgress[14438].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14438].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[14438].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14438].bestScoreQuestions}}  Take Quiz Optional
Lesson 7 - Congruency of Right Triangles: Definition of LA and LL Theorems Score: {{cp.lessonAssetIdToProgress[14441].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14441].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[14441].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14441].bestScoreQuestions}}  Take Quiz Optional
Week {{::cp.getGoalWeekForTopic(4, 5)}}
Ch 5. Geometric Properties of Polygons & Circles {{cp.topicAssetIdToProgress[44873].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - Geometric Proofs for Polygons Score: {{cp.lessonAssetIdToProgress[14508].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14508].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[14508].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14508].bestScoreQuestions}}  Take Quiz Optional
Lesson 2 - Properties of Shapes: Rectangles, Squares and Rhombuses Score: {{cp.lessonAssetIdToProgress[2400].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[2400].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[2400].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[2400].bestScoreQuestions}}  Take Quiz Optional
Lesson 3 - Properties of Shapes: Quadrilaterals, Parallelograms, Trapezoids, Polygons Score: {{cp.lessonAssetIdToProgress[10602].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[10602].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[10602].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[10602].bestScoreQuestions}}  Take Quiz Optional
Lesson 4 - Parallelograms: Definition, Properties, and Proof Theorems Score: {{cp.lessonAssetIdToProgress[13444].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[13444].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[13444].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[13444].bestScoreQuestions}}  Take Quiz Optional
Lesson 5 - Properties of Congruent and Similar Shapes Score: {{cp.lessonAssetIdToProgress[10603].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[10603].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[10603].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[10603].bestScoreQuestions}}  Take Quiz Optional
Lesson 6 - Inscribed and Circumscribed Figures: Definition & Construction Score: {{cp.lessonAssetIdToProgress[13866].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[13866].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[13866].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[13866].bestScoreQuestions}}  Take Quiz Optional
Lesson 7 - Central and Inscribed Angles: Definitions and Examples Score: {{cp.lessonAssetIdToProgress[13861].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[13861].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[13861].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[13861].bestScoreQuestions}}  Take Quiz Optional
Lesson 8 - Measurements of Angles Involving Tangents, Chords & Secants Score: {{cp.lessonAssetIdToProgress[13865].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[13865].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[13865].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[13865].bestScoreQuestions}}  Take Quiz Optional
Lesson 9 - Measurements of Lengths Involving Tangents, Chords and Secants Score: {{cp.lessonAssetIdToProgress[14376].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14376].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[14376].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14376].bestScoreQuestions}}  Take Quiz Optional
Lesson 10 - Tangent of a Circle: Definition & Theorems Score: {{cp.lessonAssetIdToProgress[13864].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[13864].bestScoreQuestions}}  Take Quiz Optional
Score: {{cp.lessonAssetIdToProgress[13864].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[13864].bestScoreQuestions}}  Take Quiz Optional

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