Triangle Centers

What is the Orthocenter of a triangle?

• The point where the medians of a triangle intersect.

• The point where the altitudes of a triangle intersect.

• The center of the triangle's circumcircle.

• The point where the angle bisectors of a triangle intersect.

What is a midsegment in a triangle?

• A segment that connects the midpoints of two sides of a triangle.

• A line that bisects the angle of a triangle.

• A segment that connects the vertices of a triangle.

• A line that divides a triangle into two equal areas.

What is the Incenter of a triangle?

• The point where the medians of a triangle intersect.

• The point where the angle bisectors of a triangle intersect.

• The point where the altitudes of a triangle intersect.

• The point where the sides of a triangle meet.

What is the name of this center?

• Centroid

• Circumcenter

• Orthocenter

• Incenter

What is the point of concurrency formed by the medians of a triangle?

• Centroid

• Circumcenter

• Orthocenter

• Incenter

What is the significance of the centroid in a triangle?

• The centroid is the point where all three altitudes intersect.

• The centroid is the balance point of the triangle and divides each median into a 2:1 ratio.

• The centroid is the point where the three angle bisectors meet.

• The centroid is the midpoint of the longest side of the triangle.

What is the relationship between the orthocenter and the altitudes of a triangle?

• The orthocenter is the point where all three altitudes of a triangle intersect.

• The orthocenter is the midpoint of the triangle's sides.

• The orthocenter is the center of the triangle's circumcircle.

• The orthocenter is the point where the medians of the triangle intersect.

What is the name of this center?

• Centroid

• Incenter

• Circumcenter

• Orthocenter

What is an altitude in a triangle?

• A line segment connecting two vertices of a triangle.

• A perpendicular segment from a vertex to the line containing the opposite side.

• The longest side of a triangle.

• A line that bisects an angle of a triangle.

What is a median in a triangle?

• A line segment that connects a vertex of the triangle to the midpoint of the opposite side.

• A line segment that bisects the angle of a triangle.

• A line segment that connects the midpoints of two sides of a triangle.

• A line segment that is perpendicular to the base of the triangle.