Medians, altitudes, angle bisectors, and perpendicular bisectors

Front

What is an altitude in a triangle?

Back

An altitude is a line segment from a vertex of the triangle that is perpendicular to the opposite side.

Front

How do you identify an altitude in a triangle?

Back

An altitude can be identified as the segment that forms a right angle with the base of the triangle.

Front

What is a median in a triangle?

Back

A median is a line segment from a vertex to the midpoint of the opposite side.

Front

How do you find the median of a triangle?

Back

To find the median, locate the midpoint of one side and draw a line from the opposite vertex to that midpoint.

Front

What is an angle bisector?

Back

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

Front

How can you identify an angle bisector in a triangle?

Back

An angle bisector can be identified as the segment that splits the angle at a vertex into two equal angles.

Front

What is a perpendicular bisector?

Back

A perpendicular bisector is a line that divides a line segment into two equal parts at a right angle.

Front

How do you construct a perpendicular bisector?

Back

To construct a perpendicular bisector, find the midpoint of the segment and draw a line perpendicular to the segment at that point.

Front

What is the relationship between medians and centroids in a triangle?

Back

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

Front

What is 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).