Question

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In triangle ACE, G is the centroid and BE = 12. Find BG and GE.

A. BG = 6, GE = 6
B. BG = 8, GE = 4
C. BG = 4, GE = 8
D. BG = 3, GE = 9
https://rialto5819-ehs-pps.gradpoint.com/Resource/2146263,72F,0,0,0,0,0/Assets/testitemimages/geometry_a/relationships_within_triangles/mc052-1.jpg

Answer 1

Go here: http://www.jimloy.com/geometry/centers.htm and read about centroids. Pay attention to this: The centroid divides each median in a ratio of 2:1. Then, return and see what you think the answer is.

Answer 2

a

Answer 3

No. The centroids do not meet at their respective midpoints.

Read this again: The centroid divides each median in a ratio of 2:1

Answer 4

GE = (2/3) of BE.

BG = 1/3 of BE.

Answer 5

@knowel

BE = 12

GE = (2/3) of BE = ?

BG = 1/3 of BE = ?

Answer 6

If BE = 12, then what is 2/3 of 12?
If BE = 12, then what is 1/3 of 12?

Answer 7

@knowel

Answer 8

i think its d

Answer 9

No. Will you puh-leez take 2/3 of 12 and post what you get.

Answer 10

@knowel

Answer 11

8

Answer 12

and 4

Answer 13

Yes.
Next: Will you puh-leez take 1/3 of 12 and post what you get.

Answer 14

Okay, so 8 and 4 are the answers but which goes where?

Answer 15

8 and 4

Answer 16

x=8,y=4

Answer 17

There are no x's and y's in the answer options. Look again.

Answer 18

BG = ?
GE=?

Answer 19

GE = (2/3) of BE = 8

BG = 1/3 of BE = 4

Answer 20

That is correct. @knowel