Medians/Altitudes

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 line segment from a vertex to the line containing the opposite side.

Front

How can you identify an altitude in a triangle?

Back

An altitude can be identified by checking if it forms a right angle (90 degrees) with the opposite side.

Front

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

Back

A median divides the triangle into two smaller triangles of equal area.

Front

If a segment is both a median and an altitude, what does that imply about the triangle?

Back

It implies that the triangle is isosceles, as the median and altitude coincide.

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.

Front

In triangle ABC, if AD is an altitude, what can be said about angle ADB?

Back

Angle ADB is 90 degrees.

Front

If BD is a median in triangle ABC, what can be inferred about segments AB and AC?

Back

Segments AB and AC are equal in length.

Front

How do you find the length of a segment when given a median?

Back

To find the length of a segment when given a median, use the property that the median divides the opposite side into two equal segments.

Front

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

Back

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