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Online Geometry Problem 1: Triangle, Angles, Midpoint, Congruence, 45 Degrees, Auxiliary Construction. Level: High School, Honors Geometry, College, Mathematics Education

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In a triangle ABC, median BD is such that angles A and DBC are equal. If angle ADB is 45 degrees, prove that the measure of angle A is 30 degrees. Try to use elementary geometry (Euclid's Elements.)



 

Geometry Problem: Congruence



 

See also:
Triangles
Median
Congruence
Circle
Geometric Art 01
Kaleidoscope of Geometry Problem 1 based on Poincare Disk Model
 

Mind Map: George Pólya's 1945 book, "How to Solve It"

George Pólya's 1945 book "How to Solve It, A new aspect of Mathematical Method", is a book describing methods of problem solving. It suggests the following steps when solving a mathematical problem: (1) First, you have to understand the problem. (2) After understanding, then make a plan. (3) Carry out the plan. (4) Look back on your work. How could it be better?
A mind map is a diagram used to visually organize information, knowledge, concepts or ideas.
 

College Geometry: Mind Map: George Pólya's 1945 book, How to Solve It
 

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Last updated: Sep 19, 2014