Relationships within triangles

Front

What is RU in the context of triangle relationships?

Back

RU is a value related to the dimensions or properties of a triangle, specifically in this case, RU = 20.

Front

The perpendicular bisectors of a triangle are concurrent at ___________.

Back

circumcenter

Front

What is a line segment through a vertex and perpendicular to the base of a triangle called?

Back

altitude

Front

If the sides of triangle ABC are AB = 8, BC = 4x − 1, and CA = 3x + 5, what are the possible values of x?

Back

4/7 < x < 14

Front

What is the coordinate of the midpoint of a line segment with endpoints at -2 and 12?

Back

5

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

Define the term 'altitude' in a triangle.

Back

An altitude is a line segment from a vertex to the opposite side, forming a right angle with that side.

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 relationship between the sides of a triangle and the angles opposite those sides?

Back

The larger the side of a triangle, the larger the angle opposite that side.

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 incircle.