Centers of Triangles

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 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

What is a perpendicular bisector?

Back

A perpendicular bisector is a line that divides a segment into two equal parts at a 90-degree angle.

Front

What is the centroid of a triangle?

Back

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

Front

If m∠CAP = 34°, what is ∠CAB?

Back

∠CAB = 68°.

Front

What type of segments are drawn from the centroid?

Back

Medians are drawn from the centroid to the opposite sides.

Front

At what degree do altitudes intersect the base of a triangle?

Back

Altitudes intersect the base at 90 degrees.

Front

What is the relationship between the centroid and the medians?

Back

The centroid divides each median into two segments, with the longer segment being twice the length of the shorter segment.

Front

How many medians does a triangle have?

Back

A triangle has three medians, one from each vertex.