Two angles in math are said to be corresponding when they are being referred in a way of equality. Angles made by two Parallel Lines when they are cut by a transversal or the angles when formed in an Isosceles Triangle are the Corresponding Angles. In both cases corresponding angles are equal in measure. For example, suppose we have a triangle whose two sides are equal, then angles corresponding to these sides are also equal.
Similarly, when we refer to the word corresponding as far as an equation is considered, we evaluate the value of one variable with respect to or corresponding to other variable. These values may or may not be equal. For example, suppose we have an equation as 4 x + 5 y = 9 and we have x = 2. So, evaluating value of 'y' corresponding to value of x i.e. 2 we get:
4 x + 5 y = 9,
Or 4 * 2 + 5 y = 9,
Or 5 y = 9 – 8,
Or y = 1 /5,
When we discuss corresponding in case of Sets, we mean two sets that are equal. For example, given two sets:
P: 12, 34, 56, 78, 1, 4, 2, 6, 7, 9
Q: 34, 12, 56, 78, 4, 6, 1, 2, 7, 9
Two sets we have considered are equal and corresponding sets as they have the same number of elements and also the same values of the elements. It does not matter whether they are in same order or not.