CPGEO Chapter 5 Flashcard 1 Part I

Front

Back

Front

What is the center of a triangle where the perpendicular bisectors of the sides intersect?

Back

The center is called the Circumcenter.

Front

Back

Front

What is the length of segment DE if the options are 14, 7, 28, 2?

Back

The length of segment DE is 7.

Front

How do you find x using the Perpendicular Bisector Theorem?

Back

If x = 10, then you are using the Theorem.

Front

What is the definition of the Circumcenter?

Back

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

Front

What does the Perpendicular Bisector Theorem state?

Back

It states that if a point is on the perpendicular bisector of a segment, it is equidistant from the endpoints of the segment.

Front

What is the Converse of the Perpendicular Bisector Theorem?

Back

It states that if a point is equidistant from the endpoints of a segment, then it lies on the perpendicular bisector of that segment.

Front

If a triangle has a centroid, what does that mean?

Back

The centroid is the point where the three medians of the triangle intersect.

Front

What is the relationship between the circumcenter and the circumcircle of a triangle?

Back

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