Medians and Centroid

If Z is the centroid of TUV, TZ=60, XZ=28, and WZ=25, find each missing measure.

A)ZV=56 B)ZY=30 C)ZU=50 D)TY=90 E)XV=84

Median

A segment joining a vertex to the midpoint of the opposite side.

If P is the centroid of JKL, JK=22, KN=13, and OL=18, find each missing measure.

A) KM=11 B) NL=13 C) KL=26 D) JO=18 E) JL=36

If G is the centroid of ABC, BF=72, AC=64, and GE=27, find each missing measure.

A)AF=32 B) FC=32 C) BG=48 D)GF=24 E) AG=54 F) AE=81

If J is the centroid of DEF, DH=51, GF=60, and EI=57, find each missing measure.

A)DJ=34 B)JH=17 C)GJ=20 D)JF=40 E)EJ=38 F)JI=19

If G is the centroid of ACE, AG=8,GF=7, and BG=5, find each missing measure.

A)GD=4 B)AD=12 C)CG=14 D)GE=10 E)BE=15

If V is the centroid of PQR, SR=21, VU=8, and PT=15, find each missing measure.

A)SV=7 B)VR=14 C)QV=16 D)QU=24 E)PV=10 F)VT=5

If X is the centroid of RST, TU=27, SW=18, and RV=21, find each missing measure.

A)TX=18 B)XU=9 C)SX=12 D)XW=6 E)RX=14

Centroid

The three medians of a triangle intersect at a point called the centroid. 1)List the medians: AE, BF, CD 2) Name the centroid: P 3) What special properties exist for each median? AP=2PE, AP=2/3AE, PE=1/2 AP, PE=1/3AE