Category: Geometry


  • Angles and their calculation encompass basic geometric concepts: the sum of angles in a triangle is 180°, and in a quadrilateral it is 360°. Key operations include adding/subtracting degrees, minutes, and seconds, as well as using the relationships of complementary (90°) and supplementary (180°) angles. An exterior angle is always supplementary to the interior angle.…

  • The number of different functions depends on the domain and codomain you consider. If you have a finite domain with ( n ) elements and a codomain with ( m ) elements, the total number of different functions is ( m^n ), because each element in the domain can be mapped to any of the…

  • Solve for x

    Solve for x

    When solving an equation with one variable, the key rule is to isolate the variable on one side of the equal sign and move all the numbers to the other side. To do this, you transfer terms from one side to the other by changing their signs: if a term is added on one side,…

  • Tricks with numbers 11, 111, 1111 etc.

    Multiplying numbers by 11, then 111, then 1111, with each other results in palindromic numbers—numbers that read the same forwards and backwards. This fascinating pattern reveals the unique properties of these repetitive multipliers and the symmetry they create in the product. Let’s explore this: 1 × 11 = 1111 × 11 = 121111 × 111…