Can you explain the concept of congruence in puzzles?

Mar 9, 2021 ... a is congruent to b mod 5 means that when you divide a and b by 5, the remainders are the same. It also means that a-b is divisible by 5. Nov 12, 2016 ... When we talk about a number x being "congruent to 448 modulo 512", what we mean is that x modulo 512 and 448 modulo 512 is the same number; ... This is the principle of superposition. For triangles, congruence means the equality of all corresponding pairs of sides and all corresponding pairs of angles. Problem #1. What is the last digit of $(...((7)^7)^7). if there are 1000 ... Therefore, by the definition of congruence, $7^{1942}$ differs from $49$ by ... Jul 11, 2014 ... For a closer similarity "≃" might mean a triangle almost congruent ... What does a≈b actually mean? 4 · Approximation of numbers: Am I using ... Definition 11.5. Let a and n be integers with n > 0. The congruence class of a modulo n, denoted. [a]n, is the set ... But what does mathematical understanding look like? One hallmark of ... notions about what it means for two objects to be congruent. In this unit ... ingness to specify encounter norms does not necessarily mean that these norms are congruent with actual evaluations of encounters, as suggested by this ... possesses the concept (See Definition of Mathematics). The individual ... But what do we mean by “really un- derstanding”? What we really mean, I ... May 10, 2021 ... ... definition of congruence in terms of rigid ... Mathematical modeling supports a broadening of what it means to think and do mathematics.