Triangle Medians & Centroids Continued

Fill in the blank: The centroid is the point where the three ________ of a triangle meet.

• Altitudes

• Medians

• Perpendicular bisectors

• Angle bisectors

Fill in the blank: The centroid divides each median into two segments, one of which is ________ the length of the other.

• Twice

• Half

• Equal

• Three times

Tags

CCSS.HSG.CO.C.10

If G is the centroid of triangle ACE, AG = 8, GF = 7, and BG = 5, find GD.

• 5

• 6

• 4

• 8

If X is the centroid of triangle RST, TU = 27, SW = 18, and RV = 21, find TX.

• 9

• 18

• 12

• 6

What special properties exist for each median?

• They are equal in length

• They intersect at the centroid

• They are perpendicular to the base

• They are parallel to each other.

Tags

CCSS.HSG.CO.C.10

If P is the centroid of triangle JKL, find NL if KL = 13.

• 6.5

• 8.5

• 9.5

• 10.5

Tags

CCSS.HSG.SRT.B.4

If V is the centroid of ΔPQR and SR = 21, VU = 8, and PT = 15,

find each measure.

• 14 units

• PV

• 7 units

• QU

• 24 units

• VR

• 10 units

• SV

• 16 units

• QV

Tags

CCSS.HSG.SRT.D.11

In triangle CDE, if U is the centroid, what is the length of CU?

• 12

• 24

• 27

• 30

Tags

CCSS.HSG.SRT.B.4

CCSS.HSG.CO.C.10

CCSS.HSG.C.A.3

In triangle CDE, if U is the centroid, what is the length of JD?

• 15

• 12

• 18

• 27

What is the length of BE in triangle ABC if BU = 12 and U is the centroid?

• 18

• 24

• 16

• 20

Tags

CCSS.HSG.SRT.A.2