Special Segments of Triangles

Front

What is an altitude in a triangle?

Back

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

Front

What is a median in a triangle?

Back

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

Front

What is an angle bisector?

Back

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

Front

What is a perpendicular bisector?

Back

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

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

How do you find the measure of an angle using an altitude?

Back

Use the properties of right triangles formed by the altitude to apply trigonometric ratios or the Pythagorean theorem.

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

How can you identify an angle bisector in a triangle?

Back

An angle bisector can be identified as the segment that splits the angle into two equal parts and can be measured using angle measures.

Front

What is the significance of the midsegment theorem?

Back

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

Front

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

Back