8.3 Medians and Altitudes of Triangles

Front

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

Back

Circumcenter

Front

Name the segment/line/ray shown in the picture: A line segment from a vertex perpendicular to the opposite side.

Back

Altitude

Front

What is the measure of ∠HKG if HK is an altitude in ΔGHI?

Back

90°

Front

The figures above are examples of ...

Back

altitudes

Front

KL is a Median: Find LJ if KL = 6 and LJ = 3.

Back

3

Front

What is a median in a triangle?

Back

A segment that connects a vertex to the midpoint of the opposite side.

Front

What is an altitude in a triangle?

Back

A perpendicular segment from a vertex to the line containing the opposite side.

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 centroid of a triangle?

Back

The point where the three medians intersect.

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, b, and c are the lengths of the sides.