Which of the following is a validation of congruency between two polygons?
a) if by applying only rotation you can make them coincide
b) if by applying only translation you can make them coincide
c) if by applying rigid motions you can make them coincide
d) if by applying dilation you can make them equal

The correct answer is: C) if by applying rigid motions you can make them coincide

Step-by-step explanation:

Two polygons are said to be congruent or identical in form, if they have exactly the same size and shape or if their corresponding angles and sides are also equal. When a rigid motion like - reflection, rotation and translation is applied on the polygons and they maintain the same length and shape then, they are congruent.

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.

8

step-by-step explanation:

just put √(2) * √(32) into a calculator. that will make the answer be 8.