Unit 6 Test Review

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. It is equidistant from all three vertices of the triangle.

Front

How do you find the length of a side in a triangle given the circumcenter?

Back

Use the circumradius formula or properties of the circumcenter to determine the lengths of the sides based on the distances from the circumcenter to the vertices.

Front

What is a median in a triangle?

Back

A median is a line segment that connects a vertex of a triangle to the midpoint of the opposite side.

Front

How do you find the centroid of a triangle?

Back

The centroid is found by averaging the coordinates of the vertices of the triangle. It divides each median into a 2:1 ratio.

Front

If ZX = 3 and X is the centroid, what is AZ if AZ = 2 * ZX?

Back

AZ = 6, since the centroid divides the median in a 2:1 ratio.

Front

What is the relationship between angles in a triangle?

Back

The sum of the interior angles of a triangle is always 180 degrees.

Front

If m<LJK = 28°, what is m<MLK if they are vertical angles?

Back

m<MLK = 28°, since vertical angles are equal.

Front

What is an angle bisector?

Back

An angle bisector is a line that divides an angle into two equal parts.

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 solve for a segment in a triangle?

Back

Use properties of triangles, such as the Pythagorean theorem or segment addition postulate.