Circumcenter and Incenter Practice

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 circumradius of a triangle?

Back

The circumradius (R) can be found using the formula R = a / (2 * sin(A)), where 'a' is the length of a side and 'A' is 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. It is equidistant from all three sides of the triangle.

Front

How do you find the inradius of a triangle?

Back

The inradius (r) can be calculated using the formula r = A / s, where 'A' is the area of the triangle and 's' is the semi-perimeter.

Front

What is the relationship between the angles and sides in a triangle?

Back

In a triangle, the larger the angle, the longer the side opposite that angle. This is known as the Angle-Side Relationship.

Front

If m∠CAP = 34°, what is m∠CAB if the triangle is isosceles?

Back

m∠CAB = 68° because the base angles in an isosceles triangle are equal.

Front

What is an angle bisector?

Back

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

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 median of 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 midsegment of a triangle?

Back

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