5.1-5.2 FLASHCARD REVIEW- Bisectors in Triangles

Front

What is a bisector in a triangle?

Back

A line or segment that divides an angle or side into two equal parts.

Front

What is the median of a triangle?

Back

A line segment joining a vertex to the midpoint of the opposite side.

Front

What is the point of concurrency for the medians of a triangle called?

Back

Centroid.

Front

What is the incenter of a triangle?

Back

The point where the three angle bisectors of a triangle intersect.

Front

How do you find the measure of an angle using angle bisectors?

Back

If an angle is bisected, the two resulting angles are equal, and each is half the measure of the original angle.

Front

What is the relationship between the angles in a triangle?

Back

The sum of the interior angles of a triangle is always 180°.

Front

What is the formula for finding the centroid of a triangle given its vertices?

Back

(x1 + x2 + x3)/3, (y1 + y2 + y3)/3.

Front

What is the significance of the incenter in relation to the triangle's incircle?

Back

The incenter is the center of the incircle, which is tangent to all three sides of the triangle.

Front

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

Back

The circumcenter is the point where the perpendicular bisectors of the sides intersect, while the incenter is where the angle bisectors intersect.

Front

How can you determine if a point is the incenter of a triangle?

Back

A point is the incenter if it is equidistant from all three sides of the triangle.