Points of Concurrency Review

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

What is the orthocenter of a triangle?

Back

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

Front

If G is the centroid of triangle ABC, what is the relationship between the segments created by G?

Back

The centroid divides each median into two segments, with the segment connecting the vertex to the centroid being twice as long as the segment connecting the centroid to the midpoint of the opposite side.

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

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 an angle bisector?

Back

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

Front

If the length of segment GF is 4 and G is the centroid, what is the length of segment GC?

Back

The length of segment GC is 8.

Front

What type of segments are drawn from the incenter of a triangle?

Back

Angle bisectors are drawn from the incenter.

Front

What is the centroid of a triangle?

Back

The centroid is the point where the three medians of a triangle intersect.

Front

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

Back

Use the properties of medians, altitudes, or other triangle segments, often involving ratios or the Pythagorean theorem.