Special Segments and Center of Triangles

What type of center is point M?

• Circumcenter

• Incenter

• Centroid

• Orthocenter

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

• Circumcenter

• Orthocenter

• Incenter

• Centroid

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

• Circumcenter

• Orthocenter

• Incenter

• Centroid

How is the centroid related to the medians of a triangle?

• The centroid is the point of intersection of the medians of a triangle.

• The centroid is the point of intersection of the perpendicular bisectors of a triangle.

• The centroid is the point of intersection of the altitudes of a triangle.

• The centroid is the point of intersection of the angle bisectors of a triangle.

How is the circumcenter related to the perpendicular bisectors of a triangle?

• The circumcenter is the point where the perpendicular bisectors of the sides of a triangle intersect.

• The circumcenter is unrelated to the perpendicular bisectors of a triangle

• The circumcenter is the point where the medians of a triangle intersect

• The circumcenter is located at the midpoint of the sides of a triangle

How many medians does a triangle have?

• 2

• 3

• 5

• 4

Define perpendicular bisector of a triangle.

• A line that passes through the vertex of the triangle and is parallel to the opposite side.

• A line that passes through the midpoint of a side of the triangle and is parallel to that side.

• A line that passes through the centroid of the triangle and is perpendicular to one of the sides.

• A line that passes through the midpoint of a side of the triangle and is perpendicular to that side.

How many perpendicular bisectors does a triangle have?

• Three

• Two

• Four

• Five

What is the centroid of a triangle?

• The centroid of a triangle is the point where the three medians of the triangle intersect.

• The centroid of a triangle is the point where the three perpendicular bisectors of the sides intersect.

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

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

Explain the concept of circumcenter of a triangle.

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

• The point where the perpendicular bisectors of the sides of the triangle intersect.

• The point where the altitudes of the triangle intersect.

• The point where the medians of the triangle intersect.