Trapezoid trap was dilated by a scale factor of 1/2 to create trapezoid t'r'a'p'.

which point is the center of dilation?

Point X is the center of dilation.

Step-by-step explanation:

Consider the below figure attached with this question.

It is given that trapezoid TRAP was dilated by a scale factor of 1/2 to create trapezoid T'R'A'P'.

We need to find the center of dilation.

All points of the figure are expanded or contracted about a fixed point, that point is know as  center of a dilation.

To find the center of a dilation, draw 4 lines which are connecting vertices with their corresponding images. The intersection point on these lines is the center of a dilation.

From the 2nd figure it is clear that lines TT', RR', AA' and PP' intersect each other at point X.

Therefore, point X is the center of dilation.

c

step-by-step explanation:

h * s * a

h = history teacher

s = science teacher

a =   art teacher.

i see no data table, but just multiply the number of history teachers, science teachers, and art teachers.