Question

In triangle ABC, the segments drawn from the vertices intersect at point G. Segment FG measures 6 cm, and segment FC measures 18 cm. Which best explains whether point G can be the centroid? Point G cannot be the centroid because 18:6 does not equal 2:1. Point G cannot be the centroid because FG should be longer than CG. Point G can be the centroid because 12:6 equals 2:1. Point G can be the centroid because FC is longer than FG.

Answer 1

Answer:

The correct explaination is Point G can be the centroid because 12:6 equals 2:1

Step-by-step explanation:

Given in  triangle ABC, the segments drawn from vertices intersect at point G.

Segment FG measures 6 cm and and segment FC measures 18 cm.

FG = 6 cm & FC = 18 cm

and also FC = FG + GC

               18 = 6 + GC   ⇒ GC = 12

Note: The centroid divides each median in a ratio of 2:1

& 12:6 give rise to 2:1

Hence, the correct explaination for this is Point G can be the centroid because 12:6 equals 2:1

Answer 2

Answer:

C

Step-by-step explanation: