Medians and Altitudes

Front

What is a median in a triangle?

Back

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

Front

What is an altitude in a triangle?

Back

An altitude is a segment that connects a vertex of the triangle to the opposite side at a right angle (90 degrees).

Front

How can you identify an altitude in a triangle?

Back

An altitude can be identified as a segment that forms a right angle with the opposite side.

Front

What is the relationship between a median and an altitude?

Back

A median connects a vertex to the midpoint of the opposite side, while an altitude connects a vertex to the opposite side at a right angle; they are not the same.

Front

If a triangle has an altitude, what can be said about the angles formed?

Back

The angle formed between the altitude and the opposite side is 90 degrees.

Front

What is the significance of the point where the altitudes of a triangle intersect?

Back

The point where the altitudes intersect is called the orthocenter.

Front

Can a segment be both a median and an altitude?

Back

Yes, in an isosceles triangle, the segment from the vertex angle to the base can be both a median and an altitude.

Front

What is the definition of a perpendicular bisector?

Back

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

Front

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

Back

In a right triangle, the length of the altitude to the hypotenuse can be found using the formula: Area = 1/2 * base * height.

Front

What is the difference between an angle bisector and an altitude?

Back

An angle bisector divides an angle into two equal angles, while an altitude connects a vertex to the opposite side at a right angle.