Unit 6 Review: Triangle Relationships

Front

What is the centroid of a triangle?

Back

The centroid is the point where the three medians of a triangle intersect. It is also the center of mass of the triangle.

Front

If G is the centroid of triangle ABC and BE= 18, what is the length of BG?

Back

12

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.

Front

Which lengths cannot represent the sides of a triangle?

Back

28, 30, 58 (by the triangle inequality theorem).

Front

What is the measure of angle A if the options are 44° , 96° , -14° , 63°?

Back

44°

Front

What is the incenter of a triangle?

Back

The incenter is the point where the angle bisectors of a triangle intersect. It is equidistant from all three sides.

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 triangle inequality theorem?

Back

The triangle inequality theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Front

What segment is parallel to EF if the options are Segment PM, Segment MN, Segment NP, Segment FG?

Back

Segment NP

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.