Special Segments in Triangles

This video tutorial explores four special segments within triangles: altitude, median, angle bisector, and perpendicular bisector. It explains each segment's definition, properties, and how they are constructed within different types of triangles. The video also includes practical examples to help identify these segments in various triangle configurations.

What is the altitude of a triangle?

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

• A segment that divides an angle into two equal parts

• A perpendicular segment from a vertex to the opposite side

• A segment that is perpendicular to another segment

In which type of triangle can the altitude be outside the triangle?

• Equilateral triangle

• Right triangle

• Acute triangle

• Obtuse triangle

What is the median of a triangle?

• A perpendicular segment from a vertex to the opposite side

• A segment that divides an angle into two equal parts

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

• A segment that is perpendicular to another segment

Which segment divides an angle into two equal parts?

• Altitude

• Median

• Angle bisector

• Perpendicular bisector

Does the angle bisector necessarily cut the opposite side in half?

• No, it depends on the triangle type

• Yes, but only in right triangles

• No, it only divides the angle

• Yes, always

What is a perpendicular bisector?

• A segment that divides an angle into two equal parts

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

• A perpendicular segment from a vertex to the opposite side

• A segment that is perpendicular to another segment and divides it into two equal parts

Does the perpendicular bisector always pass through a vertex?

• Yes, but only in equilateral triangles

• No, it usually doesn't

• Yes, always

• No, it depends on the triangle type

Which special segment is identified by a segment from a vertex to a 90-degree angle on the opposite side?

• Median

• Angle bisector

• Altitude

• Perpendicular bisector

Which special segment is identified by a segment that does not go through a vertex and divides a side into two equal parts?

• Perpendicular bisector

• Median

• Angle bisector

• Altitude

Which special segment is identified by a segment from a vertex to the midpoint of the opposite side?

• Perpendicular bisector

• Altitude

• Angle bisector

• Median