Which pairs of polygons are congruent?

 The congruent pair is 2 and 4.

Step-by-step explanation:  We are given four pairs of polygons, and we are to select the one in which the two polygons are congruent.

We can see in the figure that the polygons in pairs 1 and 3 cannot be congruent as they have different shapes and sizes.

In figure 2, each polygon is comprised of one rectangle of length 6 units and breadth 2 units and one right-angled triangle with base 2 units and height 2 units.

Therefore, they are congruent and will have the same area which is equal to

In figure 4, there are two right-angled triangles with same base of length 8 units and heights of both the triangles is 4 units.

Therefore, they are congruent and will have same area, which is equal to

Thus, the polygons in pairs 2 and 4 are congruent to each other.

answer

the correct answer is

explanation

the given function is

the excluded values are obtained by solving:

we factor to obtain:

the excluded values are