Special Segments in a Triangle

Front

What is a median in a triangle?

Back

A segment with endpoints at the vertex and midpoint of the opposite side.

Front

What is an angle bisector?

Back

A segment that divides an angle into two equal angles.

Front

What is an altitude in a triangle?

Back

A segment from a vertex perpendicular to the line containing the opposite side.

Front

What is a midsegment in a triangle?

Back

A segment that connects the midpoints of two sides of a triangle.

Front

What is a perpendicular bisector?

Back

A line that cuts a segment into two equal parts at a 90-degree angle.

Front

What does the median of a triangle do?

Back

It connects a vertex to the midpoint of the opposite side.

Front

What is true about a perpendicular bisector?

Back

It cuts the side of a triangle into 2 congruent parts, is perpendicular to the side, and passes through the midpoint.

Front

How many medians does a triangle have?

Back

A triangle has three medians, one from each vertex.

Front

What is the relationship between the centroid and the medians?

Back

The centroid is the point where all three medians intersect.

Front

What is the significance of the centroid in a triangle?

Back

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