Special Segments in Triangles

This video tutorial covers four special segments in triangles: angle bisectors, perpendicular bisectors, medians, and altitudes. Each segment is explained with its properties and how it relates to the triangle's geometry. The video also discusses how these segments can be constructed using GeoGebra, providing a practical application of the concepts.

What are the four special segments that can be drawn in a triangle?

• Angle bisector, perpendicular bisector, diagonal, altitude

• Angle bisector, perpendicular bisector, median, altitude

• Angle bisector, parallel bisector, median, altitude

• Angle bisector, perpendicular bisector, median, diagonal

What is the primary function of an angle bisector in a triangle?

• To connect a vertex to the midpoint of the opposite side

• To be perpendicular to a side

• To divide a side into two equal parts

• To divide an angle into two equal parts

Which segment divides an angle into two congruent angles?

• Median

• Angle bisector

• Altitude

• Perpendicular bisector

In the context of triangles, what does a perpendicular bisector do?

• It connects a vertex to the midpoint of the opposite side

• It divides an angle into two equal parts

• It is perpendicular to the opposite side from a vertex

• It is perpendicular to a segment and bisects it

Which of the following is true about perpendicular bisectors?

• They only bisect angles

• They can be drawn with any segment or line

• They are always inside the triangle

• They only exist in triangles

Which segment is not exclusive to triangles and can be drawn with other segments and lines?

• Perpendicular bisector

• Altitude

• Median

• Angle bisector

What is a median in a triangle?

• A segment that divides an angle into two equal parts

• A segment connecting a vertex to the midpoint of the opposite side

• A line that bisects a segment at a right angle

• A line that is perpendicular to a side

Which point does a median connect to in a triangle?

• The midpoint of the hypotenuse

• The midpoint of the adjacent side

• The midpoint of the opposite side

• The midpoint of the base

What is the relationship between the lengths of the segments in a median?

• They are unrelated

• One is double the other

• They are proportional

• They are equal

What is an altitude in a triangle?

• A segment from a vertex perpendicular to the opposite side

• A segment that bisects an angle

• A segment that is parallel to a side

• A segment that connects two midpoints