Given:
Point D is the centroid of Triangle ABC and DE = 9.
To find:
The measures of CD and CE.
Solution:
We know that, centroid is the intersection of medians and it divides each median in 2:1.
In triangle ABC, CE is a meaning and centroid D divided CE in 2:1. So,
Let the measures of CD and DE are 2x and x respectively.
DE = 9 (Given)

Now,



And,



Therefore, the measure of CD is 18 units and the measure of CE is 27 units.
As you are only given one point the choices are quite numerous:
A. Quarter turn rotation clockwise about the origin
B. Reflection in the line y = x
C. Translation using the vector (5 -5). [5 right and 5 down]
D. Half turn rotation about point (2.5, 2.5)
E. Reduction with scale factor 1/2 with centre at (10, -5)
The last two are not likely but still only require a single transformation
Answer:
y=-2/5x+3
You subtract 2/5x from both Sides to get your answer