Special Segments of Triangles Flashcard

Front

What is a median in a triangle?

Back

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

Front

What is an angle bisector?

Back

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

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 line segment into two equal parts at a right angle.

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 medians of a triangle and its centroid?

Back

The centroid is the point where all three medians intersect, and it divides each median into a ratio of 2:1.

Front

What is the difference between an angle bisector and a median?

Back

An angle bisector divides an angle into two equal parts, while a median connects a vertex to the midpoint of the opposite side.

Front

What is the significance of the altitude in triangle area calculation?

Back

The altitude is used in the formula for the area of a triangle: Area = 1/2 * base * height (where height is the altitude).

Front

Can a median also be an altitude?

Back

Yes, in an isosceles triangle, the median from the vertex angle to the base is also an altitude.

Front

What is the point of intersection of the three altitudes called?

Back

The point of intersection of the three altitudes is called the orthocenter.