Applying properties of triangles

In ΔXYZ, YB, XC, and ZA are medians, and YC = 15.
If XP = 8, then PC = _______

• 2.7
• 12
• 5
• 4

If G is the centroid of triangle ABC and GE= 7. Find the length of BE.

• 7
• 14
• 21
• Not Enough Informaion

RC and ET are medians. Find x if TS = 2x - 2 and CS = 2x - 4

• 10.3

• 9

• 3

• 12

The centroid is the 3 ____ of a triangle intersect.

• Medians

• Midsegments

• Perpendicular Bisectors

• Angle Bisectos

C is the Centroid, AB = 30, AC = ?

• 10
• 15
• 20
• 5

Given TB=30, what the the length of QR?

• 30 because QR is congruent to TB.

• 15 because QR is half the length of TB.

• 60 because QR is double the length of TB.

• 10 because QR is 1/3 the length of TB.

The figure is an example of a(n) ...

• angle bisector

• midsegment

• altitude

• median

• perpendicular bisector

If FG is an median then which statement is true?

• <DGF is a right angle
• DF = EF
• DG = GE
• <DFG is congruent to <EFG

The centroid cuts each median into two segments.  The shorter segment is ___________ the length of the entire segment.

• one third
• two thirds
• three fourths
• one half

If AG = 4x - 21 and RE = x + 3, 
what is NG?

• 6

• 8

• 9

• 18