GoGeometry - Exploring the Beauty and Logic of Geometry | Lessons, Tutorials, and Problem-solving Resources. Embark on a Geometric Journey to the Land of the Incas: Machu Picchu, Cusco, and the Nazca Lines
Harmony in Mathematics: Embracing the Golden Rectangles of the Pythagorean Spiral.
From the Land of Incas,
GoGeometry takes you high,
1500 problems to solve.
GoGeometry.com offers free educational resources and over 1500 illustrated problems to help geometry students practice and learn.
The website is also useful for teachers to plan and teach their classes, with additional materials available to support their students.
Explore our 'About' webpage to learn more about GoGeometry.com.
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![Geometry Problem 1572](school-college/6/p1572-using-geometric-principles-solve-angle-in-triangle-given-2-sides-one-angle-class-1.jpg) |
Geometry Problem 1572:
Calculate Angle C with Geometric Methods Using Sides AB=17, BC=25, and Angle A=45 Degrees |
![Geometry Problem 1571](school-college/6/p1571-pythagorean-triangle-triple-7-24-25-prove-angle-74-degrees-tutoring-1.jpg) |
Geometry Problem 1571:
Prove that the intermediate angle in a Pythagorean Triple 7-24-25 measures 74 degrees. |
![Deep Learning Mind Map](software/ai/deep-learning-mind-map-1.jpg) |
Exploring Essential Topics of Deep Learning with a Mind Map. |
![Geometry Problem 1570](school-college/6/p1570-overlapping-two-squares-common-vertex-a-measures-class-1.jpg) |
Geometry Problem 1570:
Calculating BE in Overlapping Squares: A High School and College Geometry Challenge. |
![Geometry Problem 1569](school-college/6/p1569-isosceles-triangle-square-relationship-diameter-incircle-tutoring-1.jpg) |
Geometry Problem 1569:
Prove a Relationship: EG Equals the Incircle Diameter in Triangle ABC with Square CDEF. |
![ChatGPT Mind Map](software/ai/chatgpt-mind-map-1.jpg) |
Exploring ChatGPT with a Mind Map: Discover Key Topics and Features. |
![Geometry Problem 1568](school-college/6/p1568-proving-concyclicity-in-triangle-with-incircle-and-tangent-circle-problem-solving-tutoring-1.jpg) |
Geometry Problem 1568:
Concyclicity of Points B, D , H, J in a Triangle ABC with an Incircle and a Tangent Circle. |
![Geometry Problem 1567](school-college/6/p1567-bases-isosceles-trapezoid-circumscribed-circle-chord-distance-measurement-tangent-tutoring-1.jpg) |
Geometry Problem 1567:
Finding Tangent Distances in a Circumscribed Isosceles Trapezoid. |
![Quantum Computing mind map](software/emerging-technology/quantum-computing-mind-map-mindmap-1.jpg) |
Visualizing Quantum Computing: An In-Depth Mind Map |
![Geometry Problem 1566](school-college/6/p1566-equilateral-triangle-cevian-60-degrees-mystery-sum-of-segments-tutoring-1.jpg) |
Geometry Problem 1566:
Demonstrate AC Equals AE + CD in an Equilateral Triangle ABC Involving Cevians and 60 Degrees. |
![Geometry Problem 1565](school-college/6/p1565-triangle-median-perpendicular-midpoint-congruence-tutoring-1.jpg) |
Geometry Problem 1565:
Find the Length of BF in Triangle ABC Involving Median, Perpendicular, Midpoint, and Congruence. |
![Geometry Problem 1564](school-college/6/p1564-find-area-quadrilateral-in-right-triangle-abc-with-altitude-bisectors-midpoint-tutoring-1.jpg) |
Geometry Problem 1564:
Find the Area of Quadrilateral BGDJ in a Right Triangle involving the Altitude, Angle bisectors, and Midpoints. |
![Quantum Physics Mind Map](software/quantum-physics-university-course-mind-map-1.jpg) |
Quantum Physics Course: A High-Level Academic Mind Map. |
![Geometry Problem 1563](school-college/6/p1563-midpoint-mysteries-proving-perpendicularity-in-right-triangle-abc-altitude-bisectors-1.jpg) |
Geometry Problem 1563:
Perpendicularity in a Right Triangle involving the Altitude, Angle bisectors, and Midpoints. |
![Quantum Computing mind map](software/ai/effective-accelerationism-eacc-ai-integration-mind-map-1.jpg) |
Effective
Accelerationism and AI Integration Mind Map |
![Geometry Problem 1562](school-college/6/p1562-right-angled-triangle-bisector-midpoint-collinear-points-proof-1.jpg) |
Geometry Problem 1562:
Proof of Collinearity in a Right-angled Triangle involving the Altitude, Angle bisectors, and Midpoint. |
![NotebookLM Mind Map](software/ai/notebooklm-ai-google-mindmap-1.jpg) |
Mind Map of
NotebookLM, Google's AI Note-Taker. |
![Geometry Problem 1561](school-college/6/p1561-highschool-college-geometry-triangle-ABC-circumcenter-orthocenter-angle-parallel-problem-1.jpg) |
Geometry Problem 1561:
Triangle ABC, Circumcenter O, Orthocenter H, Parallel Line, and Angle
Secrets. |
![Tinkercad Mind Map](software/tinkercad-3d-design-circuit-code-sw-mind-map-1.jpg) |
Mind Map of
Tinkercad. Simplified Constructive Solid Geometry for 3D Modeling. |
![Geometry Problem 1560](school-college/6/p1560-trapezoid-ABCD-geometry-puzzle-angles-G-and-H-AGD-50-degrees-1.jpg) |
Geometry Problem 1560:
Trapezoid ABCD: Unlocking Angle Secrets at G and H. |
![Mathematical Analysis Mind Map](college/mathematical-analysis-high-level-academic-mind-map-1.jpg) |
Mind Map of Mathematical Analysis for a High-Level Academic Course. |
![Geometry Problem 1559](school-college/6/p1559-high-school-geometry-problem-ABC-triangle-bisection-angles-proof-1.jpg) |
Geometry Problem 1559:
Proving BC Bisects Segment DE. This geometry problem challenges students at high school and college levels. |
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Mind Map of Prompt Engineering. |
![Blockchain Mind Map](software/blockchain-mind-map-1.jpg) |
Blockchain Mind Map: Dive Deep into the Distributed Ledger. |
![Geometry Problem 1558](school-college/6/p1558-midpoints-of-segments-connecting-corresponding-vertices-of-two-equilateral-triangles-form-an-equilateral-triangle-1.jpg) |
Geometry Problem 1558:
The midpoints of segments connecting corresponding vertices of equilateral triangles form an equilateral triangle. |
![Procreate Mind Map](ipad/procreate-for-ios-ipados-mind-map-1.jpg) |
Procreate for iPad and iPhone
Mind Map |
![Geometry Problem 1557](school-college/6/p1557-right-triangle-equilateral-isosceles-congruence-midpoint-angle-problem-solving-1.jpg) |
Geometry Problem 1557:
Calculate the Angle DHG in Right Triangle ABC. The problem involves: equilateral,
isosceles, midpoint and congruence |
![Education Sciences Mind Map](education/education-sciences-mind-map-seo-publisher-1.jpg) |
Education Sciences Mid Map. |
![Geometry Problem 1556](school-college/6/p1556-right-triangle-inscribed-circle-properties-and-length-of-FG-problem-solving-1.jpg) |
Geometry Problem 1556: Right Triangle ABC and Inscribed Circle. The problem involves circle, chords, tangent, perpendicular lines, and congruence |
![Geometry Problem 1555](school-college/6/p1555-circle-chord-intersect-geometry-problem-solving-1.jpg) |
Geometry Problem 1555: Find Length of DE. The problem involves chords, tangent, circles, and intersections of line |
![MLOps Mind Map](software/ai/mlops-machine-learning-operations-building-reliable-secure-mind-map-1.jpg) |
Exploring MLOps with a Mind Map: Discover Key Topics and Features.
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![Inca Empire Coca Leave Geometry](incas1/inca-empire-tawantinsuyu-coca-leaves-1.jpg) |
Inca Empire Coca Leave Geometry
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Mind Map of
Big Data. |
![Face of the Statue of Liberty and the 'Eye of God'](geometry/real-world/statue-of-liberty/golden-rectangle-with-the-face-statue-of-liberty-1.jpg) |
The Golden Rectangles: Unveiling the Face of the Statue of Liberty and the 'Eye of God'.
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![Divide and Conquer technique mind map](math_geometry_online_courses/divide-and-conquer-technique-problem-solving-in-math-mind-map-1.jpg) |
Divide and Conquer Technique: Problem Solving in Math - Mind Map.
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![Geometry Problem 1551](school-college/6/p1551-angle-relations-cyclic-quadrilateral-abcd-circumcircles-triangles-1.jpg) |
Geometry Problem 1551: Unraveling Angle Relations in Cyclic Quadrilaterals: Solving for Angle GEJ: A High School Level Investigation |
![Word Cloud: Windows 10](software/microsoft/microsoft-365-mind-map-1.jpg) |
Microsoft
365
Mind Map. |
![Geometry Problem 1550](school-college/6/p1550-right-triangle-angle-based-segment-length-calculation-isosceles-congruence-1.jpg) |
Geometry Problem 1550: Solving for Segment BD: An Angle Puzzle in Right Triangle ABC: A High School Level Investigation |
![An image containing the Journey of Homo Sapiens mind map](software/ai/homo-sapiens-history-timeline-mind-map-openai-chatgpt-1.jpg) |
Explore the Voyage of Humanity: An In-Depth Mind Map Enhanced by OpenAI's ChatGPT and DALL-E. |
![Geometry Problem 1549](school-college/6/p1549-triangle-incircle-tangent-inscribed-circle-angle-calculation-1.jpg) |
Geometry Problem 1549: Unraveling the Geometric Mystery: Calculating Angle
BGE with the Incircle and Tangent in Triangle ABC |
![Word Cloud: Windows 10](software/microsoft/microsoft-onenote-mind-map-1.jpg) |
Microsoft OneNote
Mind Map. |
![Geometry Problem 1548](school-college/6/p1548-triangle-abc-angle-a-45-altitudes-bd-ce-intersect-point-f-de-length-calculation-1.jpg) |
Geometry Problem 1548: Exploring Segment DE Length in Triangle ABC with a 45-Degree Angle and Intersecting Altitudes |
![ChatGPT Applications Mind Map](software/ai/generative-ai-chatgpt-bard-powering-human-creativity-productivity-mind-map-1.jpg) |
Unleashing Creativity and Productivity: Empowering Human Potential with ChatGPT and Bard's Mind Map. |
![Geometry Problem 1546](school-college/6/p1546-inscribed-circle-given-sides-calculate-contact-triangle-area-1.jpg) |
Geometry Problem 1546: Discover the Hidden Geometry: Calculate Area of Contact Triangle DEF in Triangle ABC |
![ChatGPT Applications Mind Map](software/ai/machine-learning-cognitive-mind-map-1.jpg) |
Exploring Essential Topics of Machine Learning with a Mind Map. |
![Geometry Problem 1545](school-college/6/p1545-geometric-puzzle-area-of-triangle-inscribed-circle-excenters-incircle-1.jpg) |
Geometry Problem 1545: Unlock the Geometric Mystery: Calculate the Area of Triangle ABC with Inscribed Circle and Excenters! |
![Environmental Science Mind Map](college/environmental-science-academic-mind-map-1.jpg) |
Mind Map of Environmental Science Topics and Subtopics. |
![Geometry Problem 1544](school-college/6/p1544-calculate-area-triangle-with-given-arc-semicircle-intersection-geometry-resource-1.jpg) |
Geometry Problem 1544: Challenge: Calculate the Area of a Triangle with Given Arc and Semicircle Intersections. |
![Geometry Problem 1543](school-college/6/p1543-square-circle-arc-mindpoint-quadrilateral-area-school-college-1.jpg) |
Geometry Problem 1543: Calculating the Area of Quadrilateral ABED in a Square with a Side Length of 20 and an Intersecting Arc. |
![Geometry Problem 1542](school-college/6/p1542-right-triangle-square-circumscribed-inscribed-circle-hypotenuse-segment-length-angle-bisector-1.jpg) |
Geometry Problem 1542: Unraveling a Geometric Puzzle with a Circumscribed
Right Triangle and Square to the Same Circle for School and College. |
![Geometry Problem 1541](school-college/6/p1541-inscribed-cyclic-quadrilateral-diameter-circumcircle-harmonic-quaternary-menelaus-ceva-1.jpg) |
Geometry Problem 1541 Challenge: Unveiling BG Length in an Inscribed Quadrilateral with Harmonic Quaternary Insight for Academic Pursuit. |
![ChatGPT Applications Mind Map](software/ai/chatgpt-applications-mind-map-mapping-1.jpg) |
Exploring the Wide-Ranging Applications of ChatGPT with a Mind Map: A Deep Dive into Its Potential. |
![Geometry Problem 1537](school-college/6/p1537-parallelogram-midpoint-triangle-area-intersection-math-challenge-1.jpg) |
Geometry Problem 1537 Challenge: Can You Solve for the Missing Area in a Parallelogram using Midpoints and Intersection Points?. |
![ChatGPT in coding Mind Map](software/ai/chatgpt-applications-in-coding-nlp-debugging-mind-map-1.jpg) |
Applications of ChatGPT in Coding - Mind Map. |
![Geometry Problem 1536](school-college/6/p1536-quadrilateral-midpoint-area-triangle-math-education-1.jpg) |
Geometry
Problem 1536: Discover the Power of Midpoints: Solving for Missing Areas in Quadrilaterals. |
![Geometry Problem 1535](school-college/6/p1535-inscribed-circle-in-square-find-angle-crack-the-code-thematic-poem-1.jpg) |
Geometry
Problem 1535: Crack the Code: Inscribed Circle in Square - Angle Challenge! Solve the Mystery. |
![Geometry Problem 1534](school-college/6/p1534-tangent-circle-common-external-tangent-angle-brainteaser-1.jpg) |
Geometry
Problem 1534: High School Brainteaser: Tangent Circles, Common External Tangent, and Angle Conundrums!.
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![Orthocenter visual Index](center/orthocenter_theorems_problems_visual_index_software-1.jpg) |
Unlock the Secrets of the Orthocenter of a Triangle with our Visual Index of Theorems and Problems. |
![Geometry Problem 1533](school-college/6/p1533-square-exterior-right-triangle-find-angle-cyclic-quadrilateral-1.jpg) |
Geometry
Problem 1533: Discovering Relationships between Angles and Lines in an Exterior Right Triangle of a Square - A High School Challenge.
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![](pythagoras/einstein_geometry_170.jpg) |
Einstein and
Pythagoras theorem proof
Discovering the Mathematical Mind of Albert Einstein: The Fascination with Geometry and the Pythagorean Theorem |
![Geometry Problem 1532](school-college/6/p1532-square-inner-semicircle-tangent-find-angle-chord-1.jpg) |
Geometry
Problem 1532: Crack the Code of Geometry Problem 1532: How to Find the Angle in a Square with a Tangent Semicircle! - A High School Challenge.
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![Mineral Park Mine, Open Pit Mining Art Mineral Park Mine, Open Pit Mining Art](mining/open-pit/mineral-park-mine-kingman-open-pit-mining-art-1.jpg) |
From Ore to Art: Geometric Art inspired by Mineral Park Copper Mine in Kingman, Arizona. |
![Geometry Problem 1521](school-college/6/p1521-triangle-find-angle-side-two-diameter-circle-1.jpg) |
Geometry
Problem 1521 and a Thematic Poem.
Unlock the Secret to Finding the Measure of an Angle in a Triangle with Two Sides as Diameters of Circles. |
![Inca Geometry Machu Picchu](incas/inca_geometry_17.jpg) |
Unlocking the Mysteries of Inca
and Pre-Inca Geometry: Explore Machu Picchu, Cuzco, Nazca Lines, and More!.
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![Online education degree: Geometry problems, Tutoring, Tutorial, Tutor](problem/geometry_problems_17.jpg) |
Get Ahead in Geometry: Solve Problems like a Pro with Over 1500 Illustrations and Drawings
Over 1500 Visually Stimulating Problems. College, High School
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![Online education degree: Open geometry problems](math_geometry_online_courses/open_problems_i_1.jpg) |
Open Geometry Problems |
![Open Pit Mining Art Index](mining/open-pit/index-open-pit-mining-art-1.jpg) |
Unleashing the Art of Mining: Exploring the Beauty of Open Pit Mining through Geometric Art |
![Solid Geometry](geometry/dynamic_geometry_17.jpg) |
Revolutionize Your Math Curriculum with GeoGebra and More: Interactive Geometry Software for Engaging and Dynamic Learning. |
![Geometry for Children](geometry/geometry_children_17.jpg) |
Geometry for Children, Kids. |
![iPad Apps Index](ipad/ipad_apps_index.jpg) |
iPad Apps for Geometry, Index.
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![Geometry in the real world, Index](geometry/real-world/geometry-real-world-index-1.jpg) |
Geometry in the Real World. |
![Geometric Art](geometry/geometric_art_17.jpg) |
Geometric Art.
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![Geometry Theorems, Tutoring, Tutorial, Tutor](gogeometry_theorems_17.jpg) |
Theorems. |
![Recent additions, the Inca](gogeometry_recent_17.jpg) |
What's New, Recent Additions. |
![Software Index](software/software_index_17.jpg) |
Software Index. |
![Word Cloud Index](software/word_cloud_index_17.jpg) |
Word Cloud or Tag Cloud Index
Weighted list in visual design
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![Mind Map, Machu Picchu](mindmap/mind_map_index_17.jpg) |
Mind Maps Index. |
![Classical Theorems, Tutoring, Tutorial, Tutor](geometry/classical_theorems_17.jpg) |
Classical Theorems. |
![Geometria, Teoremas y Problemas](geometria/geometria_plana_espacio_1.jpg) |
Geometria en Espanol,
Teoremas y Problemas en
Espanol.
(Spanish-language version) |
![English as a Second Language Index](english/english_esl_index_17.jpg) |
English (ESL)
Index. |
![](mindmap/academic_disciplines_170.jpg) |
MindMap of Academic
Disciplines
Academic Disciplines in motion. |
Go Geometry from the Land of
the Incas- Table of Content
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