5-2 Bisectors in Triangles

Front

What is the point of concurrency that is equidistant from every side of a triangle?

Back

Incenter

Front

What is the term for a line that bisects an angle in a triangle?

Back

Angle bisector

Front

What is the term for a line that bisects a side of a triangle and is perpendicular to that side?

Back

Perpendicular bisector

Front

What is the point of concurrency where the three medians of a triangle intersect?

Back

Centroid

Front

What is the point of concurrency where the three altitudes of a triangle intersect?

Back

Orthocenter

Front

In a triangle, what is the relationship between the circumcenter and the vertices?

Back

The circumcenter is equidistant from all three vertices of the triangle.

Front

If a triangle has sides of lengths 5, 12, and 13, what type of triangle is it?

Back

Right triangle

Front

What is the formula to find the area of a triangle given its base and height?

Back

Area = 1/2 * base * height

Front

If the lengths of the sides of a triangle are 7, 24, and 25, what is the circumradius?

Back

Circumradius = 25/2 = 12.5

Front

What is the relationship between the lengths of the segments created by the intersection of the angle bisector and the opposite side?

Back

The angle bisector divides the opposite side into segments that are proportional to the lengths of the other two sides.