5.1-5.2

Front

The three angle bisectors of a triangle intersect at the_______________?

Back

incenter

Front

Segment BH is an example of which of the following? Perpendicular Bisector, Altitude, Median, Midsegment

Back

Altitude

Front

CF, BE, and AD are the medians of the triangle. If BF =10, find AB.

Back

20

Front

Name the point of concurrency shown: circumcenter, incenter, centroid, orthocenter.

Back

circumcenter

Front

The centroid is the point of concurrency of the 3 ____ of a triangle.

Back

Medians

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 circumcenter of a triangle?

Back

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

Front

What is the relationship between the centroid and the medians of a triangle?

Back

The centroid divides each median into two segments, with the longer segment being twice the length of the shorter segment.

Front

What is an altitude in a triangle?

Back

An altitude is a perpendicular segment from a vertex to the line containing the opposite side.

Front

How do you find the length of a median in a triangle?

Back

Use the formula: Median = 1/2 * sqrt(2a^2 + 2b^2 - c^2), where a and b are the lengths of the sides adjacent to the median and c is the length of the opposite side.