Circumcenter and Center

Centers of Triangles

Fill in your graphic organizer as you work through this lesson.​

Circumcenter

​Created by: Perpendicular Bisectors

Incenter

​Created by: Angle Bisectors

Centroid

​Created by: Medians

Orthocenter

​Created by: Altitudes

Important Facts:
- An altitude is created by a vertex connected to the opposite side so that it is perpendicular to that side.
- Acute triangle: located inside the triangle
- Obtuse triangle: located outside the triangle
- Right triangle: located ON the hypotenuse

Match

Match the following

• Circumcenter

• Incenter

• Centroid

• Orthocenter

Made by Perpendicular Bisectors

Made by Angle Bisectors

Made by Medians

Made by Altitudes

• Made by Perpendicular Bisectors

• Made by Angle Bisectors

• Made by Medians

• Made by Altitudes

Match

Match the following diagrams to the point of concurrency they create.

Circumcenter

Incenter

Centroid

Orthocenter

• Circumcenter

• Incenter

• Centroid

• Orthocenter

Dropdown

Which type of geometric figure creates a 90° angle with the side, and cuts the side in half?​ ​ ​ ​

Select answer

Dropdown

Which type of geometric figure is drawn from a vertex to cut the opposite side in half?​ ​​

Select answer

Dropdown

Which type of geometric figure is drawn from a vertex and creates a 90° angle with the opposite side?​ ​​

Select answer

Dropdown

Which type of geometric figure is drawn from a vertex and cuts the angle in half?​ ​​

Select answer

Categorize

Options (12)

is equidistant to vertices

is made by perpendicular bisectors

depending on the type of triangle, it is sometimes inside, outside, or on the triangle

is equidistant to the sides

is made by angle bisectors

is always inside the triangle

cuts the segment into 2/3 and 1/3 segments

is made by medians

is always inside the triangl

is the exact center of the triangle

is made by altitudes

depending on the type of triangle, it is sometimes inside, outside or on the triangle

Organize these facts into the correct point of concurrency

(Some points of concurrency share the same fact!)

Circumcenter

Incenter

Centroid

Orthocenter

All done!
Now go to Google Classroom for the assignment!