Question

altitude
a segment joining a ____ to the opposite side so that it is ____ to that side.

• altitudes can be inside a triangle, outside a triangle, or a side of the triangle

orthocenter

• the three ______ of a triangle intersect at a point called the orthocenter.

use the diagram to the left to answer the following questions:

1. list the altitudes: ______
2. name the orthocenter: ______

centers review! complete the following sentences:

1. the three ____ ____ of the sides of a triangle intersect at the circumcenter.
2. the three ____ ____ of the angles of a triangle intersect at the incenter.
3. the three ______ of a triangle intersect at the centroid.
4. the three ______ of a triangle intersect at the orthocenter.
5. a(n) ______ is equidistant from the vertices of a triangle.
6. a(n) ______ is equidistant from the sides of a triangle.

Explanation:

These questions test basic definitions of triangle centers and related segments. Key terms include altitude, orthocenter, perpendicular bisector, angle bisector, median, circumcenter, and incenter.

Answer:

1. perpendicular bisectors
2. angle bisectors
3. medians
4. altitudes
5. circumcenter
6. incenter