Centers in Triangles

What is a circumcenter?

• A point where perpendicular bisectors intersect in a triangle

• A point where angle bisectors intersect in a triangle

• A point where medians intersect in a triangle

• A point where altitudes intersect in a triangle

Tags

CCSS.HSG.C.A.3

What is an incenter?

• A point where perpendicular bisectors intersect in a triangle

• A point where angle bisectors intersect in a triangle

• A point where medians intersect in a triangle

• A point where altitudes intersect in a triangle

Tags

CCSS.HSG.C.A.3

What is a orthocenter?

• A point where perpendicular bisectors intersect in a triangle

• A point where angle bisectors intersect in a triangle

• A point where medians intersect in a triangle

• A point where altitudes intersect in a triangle

Tags

CCSS.HSG.C.A.3

Which center of a triangle is shown in the picture below?

• Circumcenter

• Orthocenter

• Incenter

• Centroid

Tags

CCSS.HSG.C.A.3

Which center of a triangle is shown in the picture below?

• Circumcenter

• Orthocenter

• Incenter

• Centroid

Tags

CCSS.HSG.C.A.3

Match the following Centers of Triangles

• Angle Bisectors

• Incenter is created by:

• Medians

• Centroid is created by:

• Perpendicular Bisectors

• Circumcenter is created by:

Tags

CCSS.HSG.C.A.3

Define: INCENTER OF A TRIANGLE

• the intersection point of the three angle bisectors of a triangle 

• when three or more lines intersect at a single point 

• the intersection point of the three perpendicular bisectors of a triangle 

• the point of intersection of three or more lines 

Tags

CCSS.HSG.C.A.3

Find the value of x

• x=28

• x=14

• x=23

• x=46

Tags

CCSS.HSG.C.A.3

Point O is the circumcenter of the triangle. Find OB

• OB = 4

• OB = 6

• OB = 5.1

• Not enough information

Tags

CCSS.HSG.C.A.3

Define: CIRCUMCENTER OF A TRIANGLE

• the intersection point of the three perpendicular bisectors of a triangle 

• when a circle passes through the three vertices of a triangle 

• the point of intersection of three or more lines 

• the intersection point of the three angle bisectors of a triangle 

Tags

CCSS.HSG.C.A.3