Special Segments in Triangles and Trapezoids

Define: POINT OF CONCURRENCY

• When three or more lines intersect at a single point 
• The intersection point of the three angle bisectors of a triangle 
• When a circle passes through the three vertices of a triangle 
• The point of intersection of three or more lines 

Tags

CCSS.HSG.C.A.3

Define: CIRCUMCENTER OF A TRIANGLE

• The intersection point of the three perpendicular bisectors of a triangle 
• The intersection point of the three medians of a triangle
• The intersection point of the three altitudes of a triangle 
• The intersection point of the three angle bisectors of a triangle 

Tags

CCSS.HSG.C.A.3

Define: INCENTER OF A TRIANGLE

• The intersection point of the three angle  bisectors of a triangle 
• The intersection point of the three medians of a triangle
• The intersection point of the three perpendicular bisectors of a triangle 
• The intersection point of the three altitudes of a triangle

Tags

CCSS.HSG.C.A.3

Define: ORTHOCENTER OF A TRIANGLE

• The intersection point of the three angle  bisectors of a triangle 
• The intersection point of the three medians of a triangle
• The intersection point of the three perpendicular bisectors of a triangle 
• The intersection point of the three altitudes of a triangle

Tags

CCSS.HSG.CO.C.10

Define: CENTROID OF A TRIANGLE

• The intersection point of the three angle  bisectors of a triangle 
• The intersection point of the three medians of a triangle
• The intersection point of the three perpendicular bisectors of a triangle 
• The intersection point of the three altitudes of a triangle

Tags

CCSS.HSG.CO.C.10

Which point is equidistant from the vertices?

• Circumcenter
• Incenter
• Centroid
• Orthocenter

Tags

CCSS.HSG.C.A.3

Which point is equidistant from the sides?

• Circumcenter
• Incenter
• Centroid
• Orthocenter

Tags

CCSS.HSG.C.A.3

Which of the following describes an altitude of a triangle?

• A segment that passes through the middle of the triangle.
• A segment with endpoints at the vertex and midpoint of the opposite side.
• A segment that connects two midpoints of two sides.
• A segment that connects the vertex and the opposite side at 90 degrees. 

Which of the following words describes the point shown in the figure?

• Incenter
• Orthocenter
• Centroid
• Circumcenter

Which of the following words describes the point shown in the figure?

• Incenter
• Orthcenter
• Centroid
• Circumcenter