Perpendicular Bisector Flashcards

A line that divides another line segment into two equal parts at a 90° angle.

Every point on the perpendicular bisector is equidistant from the endpoints of the line segment it bisects.

Place the compass at one endpoint of the line segment and draw an arc above and below the line.

Without changing the compass width, repeat the process from the other endpoint of the line segment.

Mark the points where the arcs intersect above and below the line segment.

Draw a straight line through the points of intersection of the arcs. This is the perpendicular bisector.

The perpendicular bisectors of a triangle meet at a single point called the circumcentre.

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

Used to find the midpoint of a line segment and to construct the circumcircle of a triangle.

To find the equation, calculate the midpoint of the line segment and the negative reciprocal of the gradient of the line segment.