Honors Geometry Notecards

Incenter:

The point where the angle bisectors of a triangle intersect, which is also the center of the circle inscribed in the triangle.

Orthocenter:

The point where the altitudes of a triangle intersect.

Circumcenter:

The point where the perpendicular bisectors of the sides of a triangle intersect, which is also the center of the circle circumscribed around the triangle.

Centroid:

The point where the three medians of a triangle intersect, serving as the triangle's center of mass.

Perpendicular Bisectors in a triangle form:

the circumcenter of the triangle.

Altitudes in a triangle form:

the orthocenter of the triangle.

Medians in a triangle form:

the centroid of the triangle.

Angle Bisectors in a triangle form:

the incenter of the triangle.

What forms right angles at midpoint of triangle's sides (bisecting the sides).

The perpendicular bisectors of the sides of the triangle.

What forms pairs of congruent angles at triangle's vertices (bisecting the angles).

The angle bisectors of the sides of the triangle.

What extends from a triangle’s vertices, forming right angles at opposite sides.

The altitude of a triangle

What extends from triangle’s vertices to midpoints of opposite side.

The medians of a triangle