Triangle Centers & Inequalities Quiz

The ________________ is the intersection of the three medians in a triangle.

• centroid
• incenter

• circumcenter

• orthocenter

The ________________ is the intersection of the three angle bisectors in a triangle.

• incenter
• circumcenter

• orthoceter

• centroid

The ________________ is the intersection of the three altitudes in a triangle.

• orthocenter
• circumcenter

• incenter

• centroid

The ________________ is the intersection of the three perpendicular bisectors in a triangle.

• circumcenter
• orthocenter

• incenter

• circumcenter

The ________________ is equidistant from the vertices of a triangle.

• circumcenter
• incenter

• circumcenter

• orthocenter

The ________________ is equidistant from the sides of a triangle.

• incenter
• circumcenter

• orthocenter

• centroid

For the circumcenter you first need to find the ________________ of each side. Then use the ________________ to draw the line.

• midpt, perpendicular slope

• perpendicular bisector, midpt

• median, perpendicular bisector

• medican, perpendiuclar slope

For the centroid you have to find the ________________ and connect it to the opposite ________________.

For the orthocenter use the ________________ and start at the ________________.

• perpendicular slope; opposite vertex

• perpendicular bisector; opposite vertex

• angle bisector; midpoint

• angle bisector; perpendicular bisector

The ________________ is the line that connects the midpoints of 2 sides of a triangle.

• midsegment
• median

• perpendicular bisector

• altitude