RG--Special Segments in Triangles

Front

What is a midsegment in a triangle?

Back

A midsegment is a segment that connects the midpoints of two sides of a triangle, and it is parallel to the third side.

Front

What is an angle bisector?

Back

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

Front

What is the definition of a median in a triangle?

Back

A median is a segment that connects a vertex of a triangle to the midpoint of the opposite side.

Front

What is the relationship between a centroid and medians?

Back

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

Front

How does the centroid divide each median?

Back

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

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 right angle.

Front

What is the relationship between midsegments and parallel lines?

Back

A midsegment is parallel to the third side of the triangle and half its length.

Front

How can you identify an angle bisector in a triangle?

Back

An angle bisector can be identified as the segment that splits the angle into two equal angles.

Front

What is the significance of the centroid in a triangle?

Back

The centroid is the center of mass of the triangle and is located two-thirds of the distance from each vertex along the median.