Special Segments in Triangles

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

What is an altitude in a triangle?

Back

An altitude is a perpendicular segment from a vertex to the line containing the opposite side.

Front

What is an angle bisector in a triangle?

Back

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

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

If BR = RC, what can be inferred about segment BC?

Back

Segment BC is bisected by point R.

Front

How do you find the length of a segment using the median?

Back

The length of a segment can be found using the properties of medians, often involving the triangle's area or specific ratios.

Front

What is the relationship between angle bisectors and the angles they divide?

Back

Angle bisectors create two angles that are equal in measure.

Front

In a triangle, what is the significance of the centroid?

Back

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

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).