Medians and Centroid

In ΔXYZ, YB, XC, and ZA are medians, and YC = 15.
Find the length of YZ.

• 30

• 15

• 5

• 7.5

Tags

CCSS.HSG.CO.C.10

In ΔXYZ, YB, XC, and ZA are medians, and YC = 15.
If PB = 3, then YB = _______

• 6

• 9

• 1.5

• 3

Tags

CCSS.HSG.CO.C.10

What is the point of concurrency for the median of a triangle?

• circumcenter

• centroid

• incenter

• orthocenter

Tags

CCSS.HSG.CO.C.10

In ΔXYZ, YB, XC, and ZA are medians. If YC= 10, then ZC = _______

• 15

• 5

• 20

• 10

Tags

CCSS.HSG.CO.C.10

Which of the following words describes the point shown in the figure?

• Centerpoint

• Orthocenter

• Centroid

• Midpoint

Tags

CCSS.HSG.CO.C.10

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

• 2.7

• 12

• 5

• 4

Tags

CCSS.HSG.CO.C.10

Fill in the blank.
All three medians intersect at the point of concurrency called the ____________.

• Incenter

• Circumcenter

• Orthocenter

• Centroid

Tags

CCSS.HSG.CO.C.10

The mid segment of the triangle is 5x-1. Find the value of x.

• x = 6

• x = 7

• x = 11.8

• x = 12.4

Tags

CCSS.HSG.SRT.B.4

ED is the midsegment of triangle ABC. Find BC

• 10.2

• 12.5

• 20.4

• 22.7

Tags

CCSS.HSG.SRT.B.4