Special Segments in Triangles

Front

What is an angle bisector?

Back

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

Front

What is a perpendicular bisector?

Back

A perpendicular bisector is a segment that divides another segment into two equal parts at a right angle (90 degrees).

Front

What is an altitude in a triangle?

Back

An altitude is a segment from a vertex to the opposite side, forming a right angle with that side.

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 do you identify an angle bisector in a triangle?

Back

An angle bisector can be identified as the segment that splits the angle into two equal angles.

Front

How do you identify a perpendicular bisector in a triangle?

Back

A perpendicular bisector can be identified as the segment that intersects another segment at its midpoint and forms right angles.

Front

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

Back

The area of a triangle can be calculated using the formula: Area = 1/2 * base * height (where height is the length of the altitude).

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.

Front

What is the relationship between the angle bisector and the opposite side?

Back

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

Front

What is the difference between an altitude and a median?

Back

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