Retake Test 3.2

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 of the triangle.

Front

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

Back

To find the length of a segment like OB, you can use the properties of the circumcenter and the triangle's dimensions, often requiring additional information about 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 an altitude in a triangle?

Back

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

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 relationship between the circumcenter and the triangle's vertices?

Back

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

Front

How do you determine if a line is a midsegment in a triangle?

Back

A midsegment connects the midpoints of two sides of a triangle and is parallel to the third side.

Front

What is the significance of the length of a segment in triangle geometry?

Back

The lengths of segments in a triangle can help determine properties such as area, perimeter, and the type of triangle.

Front

What is the formula for finding the length of a segment in a triangle?

Back

The length can often be found using the Pythagorean theorem or by applying triangle properties.

Front

What is the difference between a median and an altitude?

Back

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