Unit 4 - Flashcard Review

Front

What is the length of AG if AD = 12?

Back

AG = 8

Front

What is the point of concurrency where the perpendicular bisectors of a triangle intersect?

Back

Circumcenter

Front

If x is found in a geometric problem, what is the value of x if the solution is 4?

Back

x = 4

Front

In a triangle, if PQ is the perpendicular bisector of MN, what is the length of QN if it is given as 14?

Back

QN = 14

Front

Which point is equidistant from the vertices of a triangle?

Back

Circumcenter

Front

What is the definition of a circumcenter in a triangle?

Back

The circumcenter is the point where the perpendicular bisectors of the sides of a triangle intersect.

Front

How do you find the circumcenter of a triangle?

Back

To find the circumcenter, construct the perpendicular bisectors of at least two sides of the triangle; their intersection is the circumcenter.

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

What is the significance of the circumcenter in triangle geometry?

Back

The circumcenter is the center of the circumcircle, which is the circle that passes through all three vertices of the triangle.

Front

What is a perpendicular bisector?

Back

A perpendicular bisector is a line that divides a segment into two equal parts at a right angle.