Unit 8 Retest

Front

What is the Centroid Theorem?

Back

The centroid of a triangle is located 2/3 of the distance from each vertex to the midpoint of the opposite side.

Front

What is the point of concurrency that is the intersection of the angle bisectors of a triangle?

Back

Incenter.

Front

What is a median in a triangle?

Back

A median is a line segment joining a vertex to the midpoint of the opposite side.

Front

If the mid segment of a triangle is represented as 5x - 1, what is the value of x when the mid segment equals 29?

Back

x = 6.

Front

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

Back

Use the properties of similar triangles or the triangle mid-segment theorem.

Front

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

Back

The centroid divides each median into a ratio of 2:1.

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 orthocenter of a triangle?

Back

The orthocenter is the point where the altitudes of a triangle intersect.

Front

What is the formula for finding the length of a median in a triangle?

Back

Median length = 1/2 * sqrt(2a^2 + 2b^2 - c^2), where a, b, and c are the lengths of the sides.

Front

What is the significance of the incenter in a triangle?

Back

The incenter is the center of the circle inscribed in the triangle.