7
practice testMultiple Choice

Practice Test

Question 7 • MASTER COURSE Geometry

In the diagram, which must be true for point cap p to be the centroid of the triangle?

Answer
A
JL is equal to LK is equal to KJ
B
JM is equal to ML , LO is equal to OK , and KN is equal to NJ .
C
line segment LN is a perpendicular bisector of line segment JK , line segment JO is a perpendicular bisector of line segment LK , and line segment MK is a perpendicular bisector of line segment JL .
D
line segment LN perpendicular to line segment JK , line segment JO perpendicular to line segment LK , and line segment JL perpendicular to line segment MK .

Explanation

A triangle’s centroid is the point where its three medians intersect. Each median runs from a vertex to the midpoint of the opposite side, so JM = ML, LO = OK, and KN = NJ make M, O, and N the required midpoints. Therefore, the medians meet at the centroid P. The other choices describe special side lengths, perpendicular bisectors, or altitudes, which do not generally define the centroid.

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