Points of Concurrency (Applications)

Which point of concurrency represents an equal distance between McDonald’s, Wendy’s, and Town East Mall?

• Circumcenter

• Incenter

• Centroid

• Orthocenter

Which point of concurrency represents an equal distance between the Lincoln Memorial, the Washington Monument, and the White House?

• The point of concurrency of the triangle's perpendicular bisectors

• The point of concurrency of the triangle's angle bisectors

• The point of concurrency of the triangle's medians

• The point of concurrency of the triangle's altitudes

Which point of concurrency represents an equal distance between the Hospital, the Courthouse, and the Police Stations?

• The point of concurrency of the triangle's perpendicular bisectors

• The center of the inscribed circle of the triangle

• The center of the triangle

• A point on the perpendicular bisectors

In triangle MGX, point Y is the centroid. If ML = 24 and MY = 2x, then find the value of x.

• 5

• 8

• 6

• 4

Tags

CCSS.HSG.CO.C.10

In triangle MGX, point Y is the centroid. If YZ = 12 and ZX = 6x, then find the value of x.

• 5

• 8

• 6

• 4

Tags

CCSS.HSG.CO.C.10

In triangle MGX, point Y is the centroid. If FY = x + 6 and YG = 16, then find the value of x.

• 12

• 6

• 8

• 2

Tags

CCSS.HSG.CO.C.10

Segment DE is the perpendicular bisector of the triangle. ∠CDE = (18x)°. Find x.

• 5

• 90

• 10

• 18

Tags

CCSS.HSG.CO.C.9

Segment DE is the perpendicular bisector of the triangle. ∠CDE = (10x+30)°. Find x.

• 5

• 90

• 6

• 18

Tags

CCSS.HSG.CO.C.9

If BD = 3x + 10 and DC = 5x - 16, then find the value of x.

• 15

• 19

• 13

• 18

Tags

CCSS.HSG.CO.C.10

Name the point of concurrency shown.

• Circumcenter
• Incenter
• Supercenter
• Neither