Special Segments in Triangles Exit Ticket version 2

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

How do you find the length of a median in a triangle?

Back

To find the length of a median, use the formula: m = 1/2 * √(2a² + 2b² - c²), where a and b are the lengths of the sides adjacent to the vertex, and c is the length 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

How do you calculate the area of a triangle using the altitude?

Back

Area = 1/2 * base * height, where the height is the length of the altitude.

Front

What is a centroid in a triangle?

Back

The centroid is the point where the three medians of a triangle intersect, and it is also the center of mass.

Front

What is the relationship between the centroid and the medians?

Back

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

Front

What is a circumcenter in a triangle?

Back

The circumcenter is the point where the perpendicular bisectors of the sides of a triangle intersect, and it is the center of the circumcircle.

Front

What is an incenter in a triangle?

Back

The incenter is the point where the angle bisectors of a triangle intersect, and it is the center of the incircle.

Front

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

Back

The area of a triangle can be calculated using the formula: Area = inradius * semiperimeter.

Front

What is a special segment in a triangle?

Back

Special segments include medians, altitudes, angle bisectors, and perpendicular bisectors.