Perpendicular bisector theorem

Front

The point where the 3 perpendicular bisectors of a triangle cross is called the ___?

Back

Circumcenter

Front

The CIRCUMCENTER is the intersection of which special segments?

Back

Perpendicular Bisectors

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 relationship between the circumcenter and the vertices of a triangle?

Back

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

Front

If a triangle has sides of lengths 6, 8, and 10, what is the circumradius?

Back

The circumradius is 5.

Front

What is the formula for finding the circumradius (R) of a triangle with sides a, b, c?

Back

R = (abc) / (4K), where K is the area of the triangle.

Front

If BC is 18, what is DC if D is the midpoint of BC?

Back

DC = 9.

Front

What is the definition of a median in a triangle?

Back

A median is a line segment joining a vertex to the midpoint of the opposite side.

Front

What is the centroid of a triangle?

Back

The centroid is the point where the three medians intersect.

Front

How do you find the length of a segment if it is bisected?

Back

The length of each segment is half of the original segment's length.