Showing posts with label circumcenter. Show all posts
Showing posts with label circumcenter. Show all posts

Saturday, November 16, 2024

Geometry Problem 1581: Prove the Angle Bisection in a Cyclic Quadrilateral

Challenging Geometry Puzzle: Problem 1581. Share your solution by posting it in the comment box provided.
Audience: Mathematics Education - K-12 Schools, Honors Geometry, and College Level.

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Illustration of Geometry Problem 1581

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

Sunday, February 18, 2024

Geometry Problem 1561: Triangle ABC, Circumcenter O, and Orthocenter H

Challenging Geometry Puzzle: Problem 1561. Share your solution by posting it in the comment box provided.
Audience: Mathematics Education - K-12 Schools, Honors Geometry, and College Level.

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Illustration of Geometry Problem 1561

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

Wednesday, September 13, 2023

Geometry Problem 1553: Solving for OC in Triangle ABC with Unique Angle Bisectors

Challenging Geometry Puzzle: Problem 1553. Share your solution by posting it in the comment box provided.
Audience: Mathematics Education - K-12 Schools, Honors Geometry, and College Level.

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Illustration of Problem 1553: Geometry Problem 1553: Solving for OC in Triangle ABC with Unique Angle Bisectors

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

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.

Monday, August 5, 2019

Geometry Problem 1443: Triangle Area, Incenter, Circumcenter, 90 Degree, Perpendicular, One-third, Measurement

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 1443: Triangle Area, Incenter, Circumcenter, 90 Degree, Perpendicular, One-third Measurement, iPad apps, Tutoring.

Saturday, June 1, 2019

Geometry Problem 1438: Triangle, Incenter, Centroid, Circumcenter, Parallel, 90 Degree, Art, Poster

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 1438: Triangle, Incenter, Centroid, Circumcenter, Parallel, 90 Degree, Art, Poster, iPad apps, Tutoring.

Friday, March 16, 2018

Geometric Art: Hyperbolic Kaleidoscope of problem 155 using iPad Apps

Computer, Tablet, iPad Apps, Software.

Details: Click the figure below.

Geometric Art: Hyperbolic Kaleidoscope of problem 155 using iPad Apps

Thursday, August 10, 2017

Geometry Problem 1341: Isosceles Triangle, 80-20-80 Degrees, Circumcenter, Angle Bisector

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 1341: Isosceles Triangle, 80-20-80 Degrees, Circumcenter, Angle Bisector.

Thursday, February 2, 2017

Geometry Problem 1312: Triangle, 60 Degrees, Circle, Circumcenter, Orthocenter, Altitude, Distance, Perpendicular, Measurement

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 1312: Triangle, 60 Degrees, Circle, Circumcenter, Orthocenter, Altitude, Distance, Perpendicular, Measurement.

Saturday, July 30, 2016

Geometry Problem 1240: Triangle, Circle, Diameter, Circumcircle, Circumcenter, Perpendicular. Mobile Apps

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

Click the figure below to view more details of problem 1240.


Geometry Problem 1240: Triangle, Circle, Diameter, Circumcircle, Circumcenter, Perpendicular. Mobile Apps

Tuesday, July 5, 2016

Geometry Problem 1231: Triangle, Orthocenter, Incenter, Circumcenter, Angle Bisector, Center, Circle

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

Click the figure below to view more details of problem 1231.


Geometry Problem 1231: Triangle, Orthocenter, Incenter, Circumcenter, Angle Bisector, Center, Circle

Thursday, April 14, 2016

Geometry Problem 1207: Triangle, Circle, Incenter, Circumcenter, Excenter, Circumradius, Perpendicular

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


Click the figure below to view more details of problem 1207.

Geometry Problem 1207: Triangle, Circle, Incenter, Circumcenter, Excenter, Circumradius, Perpendicular

Wednesday, January 20, 2016

Geometry Problem 1181: Cyclic Quadrilateral and Tangential Quadrilateral, Diameter as a Diagonal, Incenter, Circumcenter

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

Click the figure below to view more details of problem 1181.

Online Math: Geometry Problem 1181: Cyclic Quadrilateral and Tangential Quadrilateral, Diameter as a Diagonal, Incenter, Circumcenter

Saturday, November 7, 2015

Geometry Problem 1163: Isosceles Triangle, Congruence, Double Angle, Circle, Concyclic Points, Circumcenter, Perpendicular, Angle Bisector

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

This entry contributed by Sumith Peiris, Moratuwa, Sri Lanka.
Click the diagram below for more details.

Online Math: Geometry Problem 1163: Isosceles Triangle, Congruence, Double Angle, Circle, Concyclic Points, Circumcenter, Perpendicular, Angle Bisector.

Friday, November 6, 2015

Geometry Problem 1162: Triangle, Congruence, Double Angle, Parallel Lines, Circle, Circumcenter

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

This entry contributed by Sumith Peiris, Moratuwa, Sri Lanka.
Click the diagram below for more details.

Online Math: Geometry Problem 1162: Triangle, Congruence, Double Angle, Parallel Lines, Circle, Circumcenter.

Sunday, November 1, 2015

Geometry Problem 1161: Scalene Triangle, 60 Degrees, Angle, Orthocenter, Circumcenter, Equilateral Triangle, Congruence

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

Click the diagram below for more details.

Online Math: Geometry Problem 1161: Scalene Triangle, 60 Degrees, Angle, Orthocenter, Circumcenter, Equilateral Triangle, Congruence.

Thursday, August 27, 2015

Geometry Problem 1147: Scalene Triangle, Orthocenter, Circumcenter, Congruence, Equilateral Triangle

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

Click the diagram below for more details.

Online Math: Geometry Problem 1147: Scalene Triangle, Orthocenter, Circumcenter, Congruence, Equilateral Triangle.

Saturday, July 25, 2015

Geometry Problem 1142: Cyclic Quadrilateral, Isogonal Lines, Circle, Center, Radius, Perpendicular Bisector, Circumcenter

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

Click the diagram below to enlarge it.

Online Math: Geometry Problem 1142: Cyclic Quadrilateral, Isogonal Lines, Circle, Center, Radius, Perpendicular Bisector, Circumcenter.

Wednesday, July 15, 2015

Geometry Problem 1137: Triangle, Circumcircle, Orthocenter, Midpoint, Arc, Collinear Points, Tangent Circles

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

Click the diagram below to enlarge it.

Online Math: Geometry Problem 1137: Triangle, Circumcircle, Orthocenter, Midpoint, Arc, Collinear Points, Tangent Circles.

Tuesday, July 14, 2015

Geometry Problem 1134: Tangent Circles, Tangent Line, Triangle, Circumcircle, Circumcenter

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

Click the diagram below to enlarge it.

Online Math: Geometry Problem 1134: Tangent Circles, Tangent Line, Triangle, Circumcircle, Circumcenter.