Geometry Flashcard: Bisectors and Triangles

Front

What is the Perpendicular Bisector Theorem?

Back

The Perpendicular Bisector Theorem states that if a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment.

Front

What does the concurrency of perpendicular bisectors refer to?

Back

The concurrency of perpendicular bisectors refers to the fact that the three perpendicular bisectors of a triangle intersect at a single point called the circumcenter.

Front

Define Circumcenter of a triangle.

Back

The circumcenter of a triangle is the point where the three perpendicular bisectors of the triangle intersect, and it is equidistant from the vertices of the triangle.

Front

What is the Incenter of a triangle?

Back

The incenter of a triangle is the point where the three angle bisectors of the triangle intersect, and it is equidistant from the sides of the triangle.

Front

How do you find the measure of an angle in a triangle?

Back

To find the measure of an angle in a triangle, you can use the properties of triangle angles, such as the sum of angles in a triangle equals 180 degrees.

Front

What is the relationship between the angles and sides in a triangle?

Back

In a triangle, the larger the angle, the longer the opposite side; conversely, the smaller the angle, the shorter the opposite side.

Front

What is the Angle Bisector Theorem?

Back

The Angle Bisector Theorem states that the ratio of the lengths of the two segments created by an angle bisector is equal to the ratio of the lengths of the other two sides of the triangle.

Front

Define the term 'concurrent lines'.

Back

Concurrent lines are three or more lines that intersect at a single point.

Front

What is the significance of the centroid in a triangle?

Back

The centroid is the point where the three medians of a triangle intersect, and it is the center of mass of the triangle.

Front

How do you determine if a point is equidistant from two points?

Back

A point is equidistant from two points if it lies on the perpendicular bisector of the segment connecting the two points.