Pls with 10th grade geomtry
based on the diagram, can point d be the centroid of triangle acf? explain.
yes, point d is the point of intersection of segments drawn from all three vertices.
yes, de is three-quarters of the length of the full segment.
no, de should be longer than ad.
no, the ratio between ad and de is 3: 1.

The geometric centroid (center of mass) of the polygon vertices of a triangle is the point D which is also the intersection of three triangle's medians.

The centroid theorem states that the centroid is 2/3 of the distance from each vertex to the midpoint of the opposite side.

Since you can state that D is not centroid (options A and B are not true).

By the centroid theorem, DE should be half of AD (AD should be twice longer), then option C is false.

Since option D is true.

correct choice is D.

a is the correct

a line is an defined derm because it

a)contains an infinite number of points b) can be used to create other geometric shapes c)describes something that does not have width or depth d) is a term that does not have a formal definition. a line is an undefined term because it: contains an infinite number of points.