Category: 1. angles and parallel lines

  • The Encyclopedia of Geometry (0007)

    Problem There is one and only one straight line that passes through a point $O$ on a straight line $AB$ and is perpendicular to $AB$. $$ $$ $$ $$ $\downarrow$ $\downarrow$ $\downarrow$ $\downarrow$ $\downarrow$ $$ $$ $$ $$ $$ $$ $$ $$ $$ $$ $$ $$ $$ $$ $$ $$ $$ $$ $$ $$ Solution…

  • The Encyclopedia of Geometry (0006)

    Problem Prove that all flat angles (two right angles) are equal to each other. $$ $$ $$ $$ $\downarrow$ $\downarrow$ $\downarrow$ $\downarrow$ $\downarrow$ $$ $$ $$ $$ $$ $$ $$ $$ $$ $$ $$ $$ $$ $$ $$ $$ $$ $$ $$ $$ Solution   Let the two flat angles be $∠BAC$ and $∠EDF$. Since…