Geometry Flashcard - Section 5.2 Bisector of Triangles

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 the circumcenter of a triangle?

Back

The point where the perpendicular bisectors of the sides of the triangle intersect.

Front

What is the incenter of a triangle?

Back

The point where the angle bisectors of a triangle intersect.

Front

How do you find the length of a segment using the perpendicular bisector?

Back

The length can be determined by using the properties of right triangles formed by the bisector.

Front

What is an angle bisector?

Back

A line that divides an angle into two equal angles.

Front

If segments SV, TV, and UV are perpendicular bisectors of triangle PQR, what can be said about the distances from the circumcenter to the vertices?

Back

The distances from the circumcenter to each vertex of the triangle are equal.

Front

What is the relationship between the incenter and the sides of a triangle?

Back

The incenter is equidistant from all sides of the triangle.

Front

How do you find the circumcenter of a triangle given its vertices?

Back

By finding the intersection of the perpendicular bisectors of at least two sides of the triangle.

Front

What is the measure of angle JGK if GJ and IJ are angle bisectors of triangle GHI?

Back

23°.

Front

What is the significance of the circumcenter in triangle geometry?

Back

It is the center of the circumcircle, which passes through all three vertices of the triangle.