Triangle Properties and Centers of Triangles Review

Front

What is the definition of a midpoint in a triangle?

Back

A midpoint is a point that divides a line segment into two equal parts.

Front

How do you find the length of a segment when given the lengths of two segments that are related?

Back

Set the two expressions equal to each other and solve for the variable.

Front

What is the relationship between the sides of a triangle and its midsegments?

Back

The length of a midsegment is half the length of the side it is parallel to.

Front

What is a perpendicular bisector?

Back

A perpendicular bisector is a line that divides a segment into two equal parts at a 90-degree angle.

Front

What is the definition of an angle bisector?

Back

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

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.

Front

What is the centroid of a triangle?

Back

The centroid is the point where the three medians of a triangle intersect, and it is the center of mass of the triangle.

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, and it is the center of the triangle's circumcircle.

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 determine the type of triangle based on its angles?

Back

A triangle can be classified as acute (all angles < 90°), right (one angle = 90°), or obtuse (one angle > 90°).