Special Segments in Triangles

Front

What is an angle bisector?

Back

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

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

Define altitude in the context of triangles.

Back

An altitude is a perpendicular segment from a vertex 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 a midsegment in a triangle?

Back

A midsegment is a segment that connects the midpoints of two sides of a triangle.

Front

How do you identify an angle bisector in a triangle?

Back

An angle bisector can be identified by checking if it divides the angle into two equal angles.

Front

What is the relationship between the median and the centroid of a triangle?

Back

The centroid is the point where all three medians of a triangle intersect.

Front

Explain the significance of the altitude in triangle area calculation.

Back

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

Front

What is the difference between a median and an altitude?

Back

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

Front

How can you determine if a segment is a midsegment?

Back

A segment is a midsegment if it connects the midpoints of two sides of a triangle and is parallel to the third side.