5-1 & 5-2 GEOMETRY - Special Segments in Triangles

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

What does an angle bisector do?

Back

An angle bisector splits an angle into two equal parts.

Front

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

Back

Use the properties of triangles, such as the Pythagorean theorem, or the triangle inequality theorem.

Front

What is the centroid of a triangle?

Back

The centroid is the point where the three medians of a triangle intersect.

Front

What is the circumcenter of a triangle?

Back

The circumcenter is the point where the perpendicular bisectors of the sides of a triangle intersect.

Front

What is the incenter of a triangle?

Back

The incenter is the point where the angle bisectors of a triangle intersect, and it is the center of the triangle's inscribed circle.

Front

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

Back

In a triangle, the larger angle is opposite the longer side, and the smaller angle is opposite the shorter side.

Front

What is the formula for the area of a triangle?

Back

Area = 1/2 * base * height.

Front

What is the difference 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.