Special Segments in Triangles

Front

What is a perpendicular bisector?

Back

A line that divides a segment into two equal parts at a 90-degree angle.

Front

What is an altitude in a triangle?

Back

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 segment from a vertex to the midpoint of the opposite side.

Front

What is an angle bisector?

Back

A ray that divides an angle into two equal angles.

Front

What is a midsegment in a triangle?

Back

A segment connecting the midpoints of two sides of a triangle.

Front

How do you find the length of a segment using the perpendicular bisector?

Back

The length can be determined by using the properties of congruent triangles formed by the bisector.

Front

What is the relationship between the angles formed by an angle bisector?

Back

The angle bisector divides the angle into two equal angles.

Front

How do you calculate the length of a median in a triangle?

Back

Use the formula: Median = 1/2 * sqrt(2a^2 + 2b^2 - c^2), where a and b are the lengths of the sides adjacent to the median, and c is the length of the opposite side.

Front

What is the significance of the centroid in relation to medians?

Back

The centroid is the point where all three medians intersect, and it divides each median into a 2:1 ratio.

Front

How can you determine if a line is a perpendicular bisector?

Back

If it is equidistant from the endpoints of the segment it bisects.