Special Segments in Triangles

Front

What is an Angle Bisector?

Back

A segment that divides an angle into two equal parts.

Front

What is an Altitude in a triangle?

Back

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

Front

What is a Median in a triangle?

Back

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

Front

What is a Perpendicular Bisector?

Back

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

Front

What does an Angle Bisector do?

Back

Splits an angle in half.

Front

How many medians does a triangle have?

Back

Three, one from each vertex.

Front

What is the relationship between the medians of a triangle?

Back

They intersect at a point called the centroid, which divides each median into a 2:1 ratio.

Front

What is the significance of the altitude in a triangle?

Back

It helps in calculating the area of the triangle.

Front

What is the formula for the area of a triangle using the base and height?

Back

Area = 1/2 * base * height.

Front

What is the difference between an altitude and a median?

Back

An altitude is perpendicular to the base, while a median connects a vertex to the midpoint of the opposite side.