Special Segments in Triangles

Front

What is an angle bisector?

Back

An angle bisector is a line or segment that divides an angle into two equal parts.

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 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 a midsegment in a triangle?

Back

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

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

If AC = 42, what is the length of DF if DF is a median?

Back

DF = 21.

Front

If PQ is the perpendicular bisector of MN, what is the length of QN if MN = 14?

Back

QN = 14.

Front

How do you identify an angle bisector in a triangle?

Back

An angle bisector can be identified by checking if it divides the angle into two equal angles.

Front

What is the relationship between a median and the area of a triangle?

Back

The median divides the triangle into two smaller triangles of equal area.

Front

What is the significance of the perpendicular bisector in triangle construction?

Back

The perpendicular bisector helps in finding the circumcenter of a triangle.