The first point of concurrency is the

CENTROID

Top second box

The centroid is the point where the __________s of the

triangle intersect. (next box)

MEDIANS!To the left

Point of Concurrency Location

It will always be located inside the triangle, because you draw a median from the midpoint of the side to the angle opposite that side.

Special Features of the CENTROID

-It is referred to as the “weighted center” or “balancing point” of a triangle.

Talk with the person sitting next to you about how you

will remember it.(Someone volunteer to share your answer

with the class)

The second point of concurrency is the

INCENTER

The incenter is the point where the __________s of the

triangle intersect. (next box)

Angle BisectorsTo the left

Point of Concurrency Location

It will always be located inside the triangle, because you are bisecting the interior angles, inside the triangle.

ANGLE BISECTOR

ANGLE BISECTOR

ANGLE BISECTOR

INCENTER

G

I

H

Special Features of the INCENTER-Equidistant from the sides of the triangle

-It is the center of a circle that inscribes the triangle. Like this:

Talk with the person sitting next to you about how you

will remember it.(Someone volunteer to share your answer

with the class)

The third point of concurrency is the

CIRCUMCENTER

The circumcenter is the point where the __________s of the triangle intersect.

Perpendicular Bisectors

Point of Concurrency Location

ANSWER: If it is an ACUTE : INSIDEIf it is a right : It will be ON the hypotenuse of the triangle because perpendicular lines form right angles.If it is an obtuse : it will be OUTSIDE

Perpendicular bisector

Perpendicular bisector

Perpendicular bisector

CIRCUMCENTER

Special Features of the CIRCUMCENTER

-Equidistant from the vertices of the triangle

-It is the center of a circle that circumscribes the triangle. Like this:

Talk with the person sitting next to you about how you

will remember it.(Someone volunteer to share your answer

with the class)

The fourth point of concurrency is the

ORTHOCENTER

The orthocenter is the point where the __________s of the triangle intersect.

Altitudes

Point of Concurrency Location

ANSWER: If it is an ACUTE : INSIDEIf it is a right : It will be ON the vertex of the 90º angleIf it is an obtuse : it will be OUTSIDE

Special Features of the ORTHOCENTER

-Can be used to find the area of a triangle

Talk with the person sitting next to you about how you

will remember it.(Someone volunteer to share your answer

with the class)