Angle Bisector Flashcards

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

Use a compass to draw arcs from the angle's vertex and then from the points where the arcs intersect the angle's arms. Draw a line through the vertex and the intersection of the arcs.

The angle bisector divides the angle into two equal angles.

A line that divides one of the triangle's angles into two equal parts and meets the opposite side.

The point where the angle bisectors of a triangle meet. It is the centre of the triangle's incircle.

A circle that is tangent to all three sides of a triangle, with its centre at the incentre.

The angle bisector of a triangle divides the opposite side into two segments that are proportional to the other two sides.

If a triangle has sides a, b, and c, and the angle bisector divides side c into segments d and e, then a/d = b/e.

Any point on the angle bisector is equidistant from the two sides of the angle.

Used in design and construction to create precise angles and in navigation to find equidistant paths.