12/8/24 Special Segments in Triangles

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 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 90-degree angle.

Front

What is an angle bisector?

Back

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

Front

In an obtuse triangle, which special segment can be outside the triangle?

Back

Altitudes can be outside of an obtuse triangle.

Front

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

Back

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

Front

How do you find the length of a segment using the perpendicular bisector?

Back

If a point lies on the perpendicular bisector of a segment, it is equidistant from the endpoints of the segment.

Front

What is the formula to find the length of an altitude in a triangle?

Back

The length of an altitude can be found using the formula: Area = 1/2 * base * height.

Front

What is the significance of the circumcenter in a triangle?

Back

The circumcenter is the point where the perpendicular bisectors of the sides intersect, and it is equidistant from all three vertices.

Front

What is the significance of the incenter in a triangle?

Back

The incenter is the point where the angle bisectors of a triangle intersect, and it is equidistant from all three sides.