Chapter 5 Test Questions

Front

What is a midsegment in a triangle?

Back

A midsegment is a line segment that connects the midpoints of two sides of a triangle. It is parallel to the third side and its length is half the length of that side.

Front

What is the point of concurrency of the three perpendicular bisectors of a triangle called?

Back

Circumcenter.

Front

What is the circumcenter of a triangle?

Back

The circumcenter is the point where the three perpendicular bisectors of a triangle intersect. It is equidistant from all three vertices of the triangle.

Front

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

Back

The circumcenter is equidistant from all three vertices of the triangle.

Front

What is the measure of angle X if it is given as 60 degrees?

Back

Angle X measures 60 degrees.

Front

What is the value of y if it is given as 3?

Back

The value of y is 3.

Front

What is the definition of a triangle's centroid?

Back

The centroid is the point where the three medians of a triangle intersect. It is also known as the center of mass or balance point of the triangle.

Front

What is a median in a triangle?

Back

A median is a line segment that connects a vertex of a triangle to the midpoint of the opposite side.

Front

What is the difference between the incenter and circumcenter of a triangle?

Back

The incenter is the point where the angle bisectors of a triangle intersect, while the circumcenter is where the perpendicular bisectors intersect. The incenter is equidistant from the sides, and the circumcenter is equidistant from the vertices.

Front

What is the definition of an angle bisector?

Back

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