Triangles and Concurrency

What does the vocabulary word "concurrent" mean?

• Lines run side by side, never touching

• Lines intersect at perpendicular angles

• Lines intersect at exactly one point

• Lines intersect

If Z is the centroid, what type of segments are drawn?

• angle bisectors
• perpendicular bisectors
• altitudes
• medians

If G is the centroid of triangle ABC and GF= 4. Find the length of GC.

• 4
• 8
• 12
• Not Enough Information

X is the centroid of the triangle. If AZ = 24, find AX.

• 4

• 8

• 12

• 16

If BC = 4x + 8 and GC = 11x - 23

• 31 / 7

• 12

• 13

• 3

If ED = 16x + 18 and CD = 3x + 27, what is the value of x?

• 7

• 8

• 9

• 10

Fill in the Blank: An altitude begins at a vertex and hits the opposite side at _____ degrees.

• 45

• 60

• 90

• 180

Solve for x (on the angle).

• 16

• 20

• 22

• 24

Name the midsegment of Triangle ABC.

• segment AC

• segment DE

• segment AB

• segment BC

QR is a midsegment of triangle WUV. What is the length of segment QR?

• 4
• 8
• 16
• 32