Chapter 5 Review Geometry

Front

What is the definition of a radius in a circle?

Back

A radius is a line segment from the center of the circle to any point on its circumference.

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 also 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 equidistant from the vertices of the triangle.

Front

What is the difference between a median and an altitude in a triangle?

Back

A median connects a vertex to the midpoint of the opposite side, while an altitude is a perpendicular segment from a vertex to the line containing the opposite side.

Front

If two sides of a triangle are formed from the radii of a circle, how do you compare their lengths?

Back

The lengths of the sides can be compared based on the angles they subtend at the center of the circle; the side opposite the larger angle is longer.

Front

What does it mean for two segments to be congruent?

Back

Two segments are congruent if they have the same length.

Front

What is the definition of a point of concurrency?

Back

A point of concurrency is a point where three or more lines intersect.

Front

How do you determine if a segment is an altitude?

Back

A segment is an altitude if it is perpendicular to the base of the triangle from a vertex.

Front

What is the relationship between the circumcenter and the circumcircle of a triangle?

Back

The circumcenter is the center of the circumcircle, which is the circle that passes through all the vertices of the triangle.

Front

What is the significance of the centroid in a triangle?

Back

The centroid divides each median into a ratio of 2:1, with the longer segment being closer to the vertex.