Point of Concurrency
Fill in the blank
Circumcenter
Incenter
Centroids
100
Name the point of concurrency for Angle Bisectors
Incenter
100
The incenter of a triangle is equidistant from the _________ of the triangle.
Sides
100
Answer 11 and 12
AG = 25
BD = 20
100
Answer 25.
angle bisectors
100
Answer 30
medians
200
Name the point of concurrency for Medians of a triangles.
Centroid
200
The circumcenter of a triangle is equidistant from the _________ of the triangle.
vertices
200
Answer 13 and 14
CF = 24
AB = 40
200
Answer 26
ST = 15
200
Answer 31 and 32
DB = 8
EA = 15
300
Name the point of concurrency for the altitudes of a triangle.
Orthocenter
300
The centroid is __________ of the distance from each vertex to the midpoint of the opposite side.
two-thirds
300
Answer 15 and 16
CE = 15
AC = 48
300
Answer 27
x = 8
300
Answer 33 and 34
CG = 12
BA = 16
400
Name the point of concurrency for the perpendicular bisectors of a triangle.
Circumcenter
400
Write the formula for the Pythagorean Theorem?
leg12 + leg22 = hypotenuse2
400
Answer 17
m<ADG = 90 degrees
400
Answer 28
24 degrees
400
Answer 35 and 36
GE = 5
GD = 6
500
True or False: The circumcenter and the incenter are located in the same place.
False
500
The ___________ is the center of gravity of a triangle.
Centroid
500
Answer 18
x = 20
500
Answer 29
31 degrees
500
Answer 37 and 38
BC = 20
AF = 8