Special Segments in Triangles

Front

Define: ORTHOCENTER OF A TRIANGLE

Back

The intersection point of the three altitudes of a triangle.

Front

Define: POINT OF CONCURRENCY

Back

When three or more lines intersect at a single point.

Front

What is the intersection point of the three medians of a triangle called?

Back

Centroid.

Front

What is the intersection point of the three angle bisectors of a triangle called?

Back

Incenter.

Front

What is the intersection point of the three perpendicular bisectors of a triangle called?

Back

Circumcenter.

Front

Given triangle ABC with vertices A(3, 7), B(9, 3), C(7, -1), what is the equation in slope-intercept form of the perpendicular bisector to line segment AB?

Back

Front

What is the length of segment DC if DC = 4?

Back

4.

Front

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

Back

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

Front

In a triangle, what is the significance of the centroid?

Back

The centroid is the point where the three medians of the triangle intersect, and it is also the center of mass.

Front

What is the circumcenter of a triangle?

Back

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