Geometry Problem 1607: Circle, Chords, Tangents, 60 Degree Angle

Challenging Geometry Problem 1607. 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.

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'.

Problem 405. Quadrilateral, 60, 75, and 135 degrees, Midpoint

Proposed Problem
Click the figure below to see the complete problem 405 about Quadrilateral, 60, 75, and 135 degrees, Midpoint.


See also:
Complete Problem 405
Level: High School, SAT Prep, College geometry

Problem 368. Triangle, 120 degrees, Angle bisectors, Perpendicular

Proposed Problem
Click the figure below to see the complete problem 368 about Triangle, 120 degrees, Angle bisectors, Perpendicular.


See more:
Complete Geometry Problem 368
Level: High School, SAT Prep, College geometry

Problem 366. Scalene triangle, Circumcircle, Angles, 60 Degrees, Equilateral triangle.

Proposed Problem
Click the figure below to see the complete problem 366 about Scalene triangle, Circumcircle, Angles, 60 Degrees, Equilateral triangle.


See more:
Complete Geometry Problem 366
Level: High School, SAT Prep, College geometry

Problem 365. Circular Sector of 60 degrees, Midpoints, Perpendicular, Congruence

Proposed Problem
Click the figure below to see the complete problem 365 about Circular Sector of 60 degrees, Midpoints, Perpendicular, Congruence.


See more:
Complete Geometry Problem 365
Level: High School, SAT Prep, College geometry

Problem 304. Triangle, Angle bisector of 120 degrees.

Proposed Problem
Click the figure below to see the complete problem 304 about Triangle, Angle bisector of 120 degrees.


See also:
Complete Problem 304
Collection of Geometry Problems

Level: High School, SAT Prep, College geometry

Problem 302. Triangle, Angle bisector of 60 degrees.

Proposed Problem
Click the figure below to see the complete problem 302 about Triangle, Angle bisector of 60 degrees.


See also:
Complete Problem 302
Collection of Geometry Problems

Level: High School, SAT Prep, College geometry

Problem 274: Isosceles Triangle, 80-80-20, Angles

Proposed Problem
Try to use elementary geometry (Euclid's Elements.)


See complete Problem 274 at:
gogeometry.com/problem/p274_isosceles_triangle_80_80_20_angles.htm

Level: High School, SAT Prep, College geometry

Equilic Quadrilateral: Theorem 3. Rhombus

Proposed Problem

In the figure below ABCD is an equilic quadrilateral. Prove that the midpoints E, G, F, and H of the diagonals and the sides BC and AD always determine a rhombus EFGH.



See more at:
gogeometry.com/equilic/equilic_quadrilateral_03.htm

Level: High School, SAT Prep, College geometry

Elearn Geometry Problem 240: Triangle with Equilateral triangles, Parallelogram

See complete Problem 240 at:
gogeometry.com/problem/p240_triangle_equilateral_parallelogram.htm

Level: High School, SAT Prep, College geometry

Post your solutions or ideas in the comments.

Elearn Geometry Problem 211: 60 Degree Triangle, Areas

See complete Problem 211 at:
gogeometry.com/problem/p211_triangle_60_equilateral_area.htm

60 degrees triangle, equilateral triangle, areas. Level: High School, SAT Prep, College geometry