Congruence generally refers to congruent figures. Congruent figures are two flat shapes that can completely overlap each other, meaning their shapes and sizes are exactly the same. They can match up perfectly after shifting, rotating, or flipping. As a special case, congruent triangles have all corresponding sides and angles exactly equal.
Balance equations are mainly used to describe the mathematical expressions of objects being in force balance or chemical reaction equilibrium. In mechanics, the most common case is when the resultant force and the resultant moment are zero. In physical mechanics, they are used to calculate unknown forces on structures; in chemistry, they describe the concentration relationships when a reaction reaches stability.
Congruent means having exactly the same shape and size, while similar means having the same shape but possibly different sizes. Actually, congruence is just a special case of similarity where the ratio is 1.
The average is just adding up a set of data and then dividing by the number of items, used to represent the general level of that set of data. It's the most commonly used statistical indicator, for example, calculating average grades or average salary uses it, but be careful—if the data has especially large or small numbers, the average can get skewed.
The Global Positioning System, GPS, is a high-precision radio navigation and positioning system developed and launched by the United States based on artificial Earth satellites. GPS can provide accurate geographic location, vehicle speed, and precise time information anywhere in the world and in near-Earth space.
It's a closed shape on the same plane, made up of two sets of parallel line segments. A parallelogram is a four-sided shape where the opposite sides are each parallel.
Group theory is a branch of math that specifically studies the algebraic structure called a 'group.' At its core, it uses a set of rules to describe symmetry and the laws of operations. It's a basic tool in abstract algebra, and not only is it important within math, but it's also widely used in physics, chemistry, and computer science.
Interest is the extra cost or earnings you get when you borrow or save money—basically, it's the fee for using money.
An interior alternate angle is the angle that lies in between two lines when they're crossed by a third line, sitting on opposite sides. It’s an important tool in middle school geometry to figure out if lines are parallel.
Quantum physics is a branch of physics that studies the motion laws of microscopic particles. Its core is quantum mechanics and quantum field theory, and it reveals the discontinuity and probability in the microscopic world. Along with relativity, it forms the theoretical foundation of modern physics.