Points of Concurrency
2
C is the circumcenter. If CD = 10 and CA = 4x + 2, then x = ?
10
C is the circumcenter. If CD = 10, then CB = ?
13
C is the circumcenter. If DF = 13, then BF = ?
90
C is the circumcenter. The measure of angle CGB is ___°.
20.9
Find JZ.
2
G is the incenter. If FG = 7 and EG = 3x + 1, then x = ?
7
G is the incenter. If FG = 7, then GD = ?
60
G is the incenter. If the measure of angle GAD = 30°, then the measure of angle DAE = __________°.
30
G is the incenter. If the measure of angle GAD = 30°, then the measure of angle GAE = __________°.
2:1 ratio long side is twice as long as short side long side is connected to vertex short side is connected to side
How does the centroid divide each median?
16
If PT = 24, then PV = ?
10
If SR = 30, then VS = ?
16
If SV = 8, then VR = ?
9
If UV = 3, then QU = ?.
11
If VP = 22, then VT = ?
27
If VR = 18, then SR = ?
Orthocenter
Name the point where three altitudes of a triangle intersect
Incenter
Name the point where three angle bisectors of a triangle intersect
Centroid
Name the point where three medians of a triangle intersect
Circumcenter
Name the point where three perpendicular bisectors of a triangle intersect
Centroid
The _______________________ is the center of gravity or balancing point of a triangle.
Incenter
The _______________________________ is equidistant from the three sides of a triangle.
Circumcenter
The ________________________________ is equidistant from the three vertices of a triangle.
Circumcenter
The ________________________________ of a right triangle is located at the midpoint of the hypotenuse.
Orthocenter
The ________________________________ of a right triangle is located on the right angle.
Circumcenter
The building contractor for a city wants to build a public restroom in a park equidistant from the three recreation areas. Where should the restroom be located?
Median
The line segment joining a vertex to the midpoint of the opposite side is the ___.
perpendicular bisector
The line segment that is both perpendicular to a side of a triangle and passes through its midpoint is the ___________________________________.
Angle Bisector
The segment drawn from a vertex that bisects that angle is the ________________________.
Altitude
The segment that makes a right angle and goes through the vertex is the ___________________.
Incenter
The triangle center shown is the ___________________________.
Orthocenter
The triangle center shown is the ____________________________.
Incenter
The triangle center shown is the _____________________________.
Circumcenter
The triangle center shown is the ______________________________.
Circumcenter
The triangle center shown is the _______________________________.
Centroid
The triangle center shown is the _____________________________________.
Orthocenter
The triangle center shown is the _______________________________________.
Incenter
The triangle center shown is the _________________________________________.
Circumcenter
The triangle center shown is the ________________________.
Circumcenter
The triangle center shown is the __________________________.
Altitude
What is the name of the line shown?
Angle Bisector
What is the name of the line shown?
Median
What is the name of the line shown?
Perpendicular Bisector
What is the name of the line shown?
Centroid
What pt of concurrency can you find with this formula?
Orthocenter and Circumcenter
Which two points of concurrency are always located outside of an obtuse triangle?
