Triangles and Bisectors (G)

Front

What is a perpendicular bisector?

Back

A line that divides a segment into two equal parts at a 90-degree angle.

Front

What is an angle bisector?

Back

A line that divides an angle into two equal angles.

Front

What is a median in a triangle?

Back

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

Front

What is an altitude in a triangle?

Back

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

Front

What is the circumcenter of a triangle?

Back

The point where the perpendicular bisectors of the sides intersect; it is equidistant from the vertices.

Front

What is the incenter of a triangle?

Back

The point where the angle bisectors of the triangle intersect; it is equidistant from the sides.

Front

What is the relationship between the exterior angle and the interior angles of a triangle?

Back

The exterior angle is equal to the sum of the two opposite interior angles.

Front

How do you find the measure of an exterior angle if the interior angles are 40° and 65°?

Back

The exterior angle is 105° (40° + 65°).

Front

What is the centroid of a triangle?

Back

The point where the three medians intersect; it is the center of mass.

Front

What is the significance of the circumcircle?

Back

A circle that passes through all three vertices of a triangle, centered at the circumcenter.