Segments within Triangles Flashcard Review

Front

What is the incenter of a triangle?

Back

The incenter is the point where the angle bisectors of a triangle intersect. It is equidistant from all three sides of the triangle.

Front

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

Back

To find the length of a segment like RU, you may need to use properties of the incenter and the triangle's dimensions, often involving angle bisector theorem or coordinate geometry.

Front

What is the centroid of a triangle?

Back

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

Front

How do you find the length of a segment from the centroid to a vertex?

Back

The length from the centroid to a vertex is two-thirds the length of the median from that vertex to the midpoint of the opposite side.

Front

What is an angle bisector?

Back

An angle bisector is a line or segment that divides an angle into two equal parts.

Front

How can you identify an angle bisector in a triangle?

Back

An angle bisector can be identified by checking if it divides the angle into two equal angles and if it meets the opposite side at a point that is proportional to the adjacent sides.

Front

What is an altitude in a triangle?

Back

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

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, using the formula: Area = 1/2 * base * height.

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. It is equidistant from all three vertices.

Front

What is the orthocenter of a triangle?

Back

The orthocenter is the point where the three altitudes of a triangle intersect.