In the diagram, GB = 2x + 3..

Triangle F D E has centroid G. Lines are drawn from each point to the midpoint of the opposite side to form line segments F A, D C, E B. The length of line segment F G is 5 x and the length of line segment G A is x + 9.

What is GB?

5 units
10 units
15 units
30 units

Step-by-step explanation:

It's important to know that the centroid is always two-thirds of the median. Which means

Which means .

But, the centroid has always the same distance from each vertex, which means

Therefore, BG is 10 units long.

given that triangle abc is transformed two times to get triangle

a"b"c"

first abc is transformed in to a'b'c' as follows:

the coordinates of a are (1,-1) and transformed into a'(-1,1)

similarly b (4,-2) became b'(-4,2) and

c(7,-2) became c'(-7,2)

i.e. (x,y) becomes (-x,-y)

this is nothing but reflection about a point here origin.

thus first transformation is reflection on the origin.

next is exactly shifting 3 units down

source:

answer: give more info

step-by-step explanation: