Perpendicular Bisectors of Triangles

Front

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

Back

Circumcenter

Front

If GC is 11, what is AG?

Back

AG = 11

Front

If CG = 4x+3 and AG = 3x+4, what is BG?

Back

BG = 7

Front

What is the length of GH and CH?

Back

GH = 16, CH = 12

Front

Solve for the value of x: 2x + 5 = 25.

Back

x = 10

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

How do you find the circumcenter of a triangle?

Back

By constructing the perpendicular bisectors of at least two sides of the triangle.

Front

What is the significance of the circumcenter in a triangle?

Back

It is the center of the circumcircle, the circle that passes through all three vertices.

Front

What is the formula for the distance between two points (x1, y1) and (x2, y2)?

Back

Distance = √((x2 - x1)² + (y2 - y1)²).