Showing posts with label GeoGebra. Show all posts
Showing posts with label GeoGebra. Show all posts

Friday, May 23, 2025

Geometry Problem 1601: Rectangular Property of Cyclic Orthodiagonal Quadrilaterals

Challenging Geometry Puzzle: Problem 1601. Share your solution by posting it in the comment box provided.
Audience: Mathematics Education - K-12 Schools, Honors Geometry, and College Level.

Gain comprehensive insights! Click below to reveal the complete details and interactive version.

Illustration of Geometry Problem 1601

Click for additional details.

Share your solution by clicking 'Comment' below the post or entering your solution or comment in the 'Enter Comment' field and pressing 'Publish'.

Sunday, May 24, 2020

Dynamic Geometry 1481: Five Tangential or Circumscribed Quadrilaterals, Pitot Theorem, Congruence, Step-by-step Illustration

Interactive step-by-step animation using GeoGebra. Post your solution in the comment box below.
Level: Mathematics Education, High School, Honors Geometry, College.

Details: Click on the figure below.

Dynamic Geometry 1481: Five Tangential or Circumscribed Quadrilaterals, Pitot Theorem, Congruence, Step-by-step Illustration, GeoGebra, iPad.

Friday, May 15, 2020

Dynamic Geometry 1480: Japanese Theorem for Cyclic Polygon, Triangulation, Non-intersecting Diagonals, Sum of Inradii, Invariant, Step-by-step Illustration

Interactive step-by-step animation using GeoGebra. Post your solution in the comment box below.
Level: Mathematics Education, High School, Honors Geometry, College.

Details: Click on the figure below.

Dynamic Geometry 1480: Japanese Theorem for Cyclic Polygon, Triangulation, Non-intersecting Diagonals, Sum of Inradii, Invariant, Step-by-step Illustration, GeoGebra, iPad.

Saturday, May 9, 2020

Dynamic Geometry 1479: Triangle, Circumcircle, Angle Bisector, Perpendicular Bisector, Chord, Concyclic Points, Parallel Lines, Step-by-step Illustration

Interactive step-by-step animation using GeoGebra. Post your solution in the comment box below.
Level: Mathematics Education, High School, Honors Geometry, College.

Details: Click on the figure below.

Dynamic Geometry 1479: Triangle, Circumcircle, Angle Bisector, Perpendicular Bisector, Chord, Concyclic Points, Parallel Lines, Step-by-step Illustration, GeoGebra, iPad.

Thursday, May 7, 2020

Dynamic Geometry 1478: Reuschle-Terquem Theorem, Concurrent Cevians, Triangle, Circumcircle, Secant line, Cyclocevian, Step-by-step Illustration

Interactive step-by-step animation using GeoGebra. Post your solution in the comment box below.
Level: Mathematics Education, High School, Honors Geometry, College.

Details: Click on the figure below.

Dynamic Geometry 1478: Reuschle-Terquem Theorem, Concurrent Cevians, Triangle, Circumcircle, Secant line, Cyclocevian, Step-by-step Illustration, Step-by-step Illustration, iPad.

Friday, May 1, 2020

Dynamic Geometry 1477: Miquel's Pentagram Theorem, Pentagon, Triangle, Circumcircles, Concyclic Points, Step-by-step Illustration

Interactive step-by-step animation using GeoGebra. Post your solution in the comment box below.
Level: Mathematics Education, High School, Honors Geometry, College.

Details: Click on the figure below.

Dynamic Geometry 1477: Miquel's Pentagram Theorem, Pentagon, Triangle, Circumcircles, Concyclic Points, Step-by-step Illustration, iPad.

Tuesday, April 28, 2020

Dynamic Geometry 1476: Droz-Farny Line Theorem, Triangle, Orthocenter, Perpendicular, Collinear Midpoints

Interactive step-by-step animation using GeoGebra. Post your solution in the comment box below.
Level: Mathematics Education, High School, Honors Geometry, College.

Details: Click on the figure below.

Dynamic Geometry 1476: Droz-Farny Line Theorem, Triangle, Orthocenter, Perpendicular, Collinear Midpoints, Step-by-step Illustration, iPad.

Monday, April 27, 2020

Dynamic Geometry 1475: Clifford Intersecting Circles Theorem, Step-by-step Illustration

Interactive step-by-step animation using GeoGebra. Post your solution in the comment box below.
Level: Mathematics Education, High School, Honors Geometry, College.

Details: Click on the figure below.

Dynamic Geometry 1475: Clifford Intersecting Circles Theorem, Step-by-step Illustration, iPad.

Saturday, April 25, 2020

Dynamic Geometry 1474: Butterfly Theorem, Circle, Chords, Midpoints, Step-by-step Illustration

Interactive step-by-step animation using GeoGebra. Post your solution in the comment box below.
Level: Mathematics Education, High School, Honors Geometry, College.

Details: Click on the figure below.

Dynamic Geometry 1474: Butterfly Theorem, Circle, Chords, Midpoints, Step-by-step Illustration, iPad.

Friday, April 24, 2020

Dynamic Geometry 1473: Kosnita's Theorem, Triangle, Four Circumcenters, Concurrent Line

Interactive step-by-step animation using GeoGebra. Post your solution in the comment box below.
Level: Mathematics Education, High School, Honors Geometry, College.

Details: Click on the figure below.

Dynamic Geometry 1473: Kosnita's Theorem, Triangle, Four Circumcenters, Concurrent Line, Step-by-step Illustration, iPad.

Thursday, April 23, 2020

Geometry Problem 1472: Cyclic Quadrilateral, Perpendicular Diagonals, Rectangle

Interactive step-by-step animation using GeoGebra. Post your solution in the comment box below.
Level: Mathematics Education, High School, Honors Geometry, College.

Details: Click on the figure below.

Dynamic Geometry Problem 1472: Cyclic Quadrilateral, Perpendicular Diagonals, Rectangle, Step-by-step Illustration, Step-by-step Illustration, iPad.

Tuesday, April 21, 2020

Geometry Problem 1471: Equilateral Triangle, Inside/Outside Point, Incenters, Tangency Points, Concurrent Lines

Interactive step-by-step animation using GeoGebra. Post your solution in the comment box below.
Level: Mathematics Education, High School, Honors Geometry, College.

Details: Click on the figure below.

Dynamic Geometry Problem 1471: Equilateral Triangle, Inside/Outside Point, Incenters, Tangency Points, Concurrent Lines, Step-by-step Illustration, iPad.

Tuesday, April 7, 2020

Geometry Problem 1469: Triangle, Circumradius, Inradius, Midpoints, Arcs, Sum of Distances

Interactive step-by-step animation using GeoGebra. Post your solution in the comment box below.
Level: Mathematics Education, High School, Honors Geometry, College.

Details: Click on the figure below.

Dynamic Geometry Problem 1469: Triangle, Circumradius, Inradius, Midpoints, Arcs, Sum of Distances, Step-by-step Illustration, iPad.

Sunday, April 5, 2020

Dynamic Geometry 1468: Steiner's Theorem, Triangle, Circumradius, Inradius, Sum of Exradii

Interactive step-by-step animation using GeoGebra. Post your solution in the comment box below.
Level: Mathematics Education, High School, Honors Geometry, College.

Details: Click on the figure below.

Dynamic Geometry 1468: Steiner's Theorem, Triangle, Circumradius, Inradius, Sum of Exradii, Step-by-step Illustration, iPad.

Friday, April 3, 2020

Geometry Problem 1467: Square, Rectangle, Triangle, Area

Geometry Problem. Post your solution in the comment box below.
Level: Mathematics Education, High School, Honors Geometry, College.

Details: Click on the figure below.

Geometry Problem 1467: Square, Rectangle, Triangle, Area, Auxiliary Lines, iPad apps, Tutoring.

Monday, March 23, 2020

Geometry Problem 1465: Tangential Quadrilateral, Incenter, Inscribed Circle, Equal Sum of Areas

Interactive step-by-step animation using GeoGebra. Post your solution in the comment box below.
Level: Mathematics Education, High School, Honors Geometry, College.

Details: Click on the figure below.

Dynamic Geometry Problem 1465: Tangential Quadrilateral, Incenter, Inscribed Circle, Equal Sum of Areas, Step-by-step Illustration, iPad.

Saturday, March 21, 2020

Dynamic Geometry Problem 1464: Quadrilateral, Interior Point, Midpoint of Sides, Equal Sum of Areas

Interactive step-by-step animation using GeoGebra. Post your solution in the comment box below.
Level: Mathematics Education, High School, Honors Geometry, College.

Details: Click on the figure below.

Dynamic Geometry Problem 1464: Quadrilateral, Interior Point, Midpoint of Sides, Equal Sum of Areas, Step-by-step Illustration, iPad.

Wednesday, March 18, 2020

Dynamic Geometry Problem1463: Parallelogram, Interior Point, Opposite Triangles with Equal Sum of Areas

Interactive step-by-step animation using GeoGebra. Post your solution in the comment box below.
Level: Mathematics Education, High School, Honors Geometry, College.

Details: Click on the figure below.

Dynamic Geometry Problem1463: Parallelogram, Interior Point, Opposite Triangles with Equal Sum of Areas, Step-by-step Illustration, iPad.

Sunday, March 15, 2020

Dynamic Geometry 1462: Newton-Line, Newton-Gauss Line, Complete Quadrilateral, Midpoints of Sides and Diagonals

Interactive step-by-step animation using GeoGebra. Post your solution in the comment box below.
Level: Mathematics Education, High School, Honors Geometry, College.

Details: Click on the figure below.

Dynamic Geometry 1462: Newton-Line, Newton-Gauss Line, Complete Quadrilateral, Midpoints of Sides and Diagonals, Step-by-step Illustration, iPad.

Thursday, March 12, 2020

Geometry Problem 1461: Quadrilateral, Triangle, Angles, 30-60 Degree, Congruence, Auxiliary Lines

Geometry Problem. Post your solution in the comment box below.
Level: Mathematics Education, High School, Honors Geometry, College.

Details: Click on the figure below.

Geometry Problem 1461: Quadrilateral, Triangle, Angles, 30-60 Degree, Congruence, Auxiliary Lines, iPad apps, Tutoring.