Triangle Special Segments

Front

What is an altitude in a triangle?

Back

An altitude is a segment from a vertex of a triangle that is perpendicular 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 segment that divides an angle into two equal angles.

Front

How do you find the length of a segment using the properties of special segments?

Back

You can use the relationships defined by the special segments, such as the properties of bisectors and altitudes, to set up equations and solve for unknown lengths.

Front

What is the relationship between the segments created by an angle bisector?

Back

The angle bisector theorem states that the angle bisector divides the opposite side into segments that are proportional to the lengths of the other two sides.

Front

What is the significance of the centroid in a triangle?

Back

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

Front

What is a median in a triangle?

Back

A median is a segment from a vertex to the midpoint of the opposite side.

Front

How can you determine if a segment is a median?

Back

A segment is a median if it connects a vertex of the triangle to the midpoint of the opposite side.

Front

What is the relationship between the lengths of the segments created by a perpendicular bisector?

Back

The perpendicular bisector theorem states that any point on the perpendicular bisector of a segment is equidistant from the endpoints of the segment.

Front

What is the formula for finding the length of a segment in a right triangle using the altitude?

Back

The length of the altitude can be found using the formula: h = (ab)/c, where a and b are the lengths of the two legs and c is the length of the hypotenuse.