Segments in triangles

Front

What is an altitude in a triangle?

Back

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

Front

What is a median in a triangle?

Back

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

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

What do perpendicular lines do?

Back

Perpendicular lines intersect to form right angles.

Front

How do you find the length of an altitude in a triangle?

Back

The length of an altitude can be found using the area of the triangle and the base length: Area = 1/2 * base * height.

Front

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

Back

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

Front

What is the significance of the midsegment in a triangle?

Back

The midsegment is parallel to the third side of the triangle and its length is half the length of that side.

Front

What is the difference between an altitude and a median?

Back

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

Front

What is the formula for 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 a perpendicular bisector?

Back

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