5.3-5.4 Median, Altitude, and Angle & Perpendicular Bisectors

Front

What is the median of a triangle?

Back

The median of a triangle is a line segment that connects a vertex to the midpoint of the opposite side.

Front

What is the altitude of a triangle?

Back

The altitude of a triangle 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 an angle bisector?

Back

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

Front

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

Back

To find the length of a median, use the formula: m = √(2a² + 2b² - c²) / 4, where a and b are the lengths of the sides adjacent to the vertex and c is the length of the opposite side.

Front

What is the relationship between the altitude and the side of a triangle?

Back

The altitude is always perpendicular to the side of the triangle.

Front

What is the significance of the centroid in a triangle?

Back

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

Front

How do you determine if two lines are perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.

Front

What is the formula for finding the area of a triangle using the altitude?

Back

Area = 1/2 * base * height, where height is the length of the altitude.

Front

What is the difference between a median and an altitude in a triangle?

Back

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