Midpoint
Midpoint
Midpoint
The midpoint of two points A & B is the point that lies on line segment AB that is equidistant to both endpoints.
The midpoint of two points A & B is the point that lies on line segment AB that is equidistant to both endpoints.
Think of it as the "average of two points".
Think of it as the "average of two points".
Explore!
Explore!
Use the applet below to explore the formula for midpoint of 2 points A and B.
Use the applet below to explore the formula for midpoint of 2 points A and B.
Perpendicular Bisector
Perpendicular Bisector
The perpendicular bisector of two points A & B is the line that passes through line segment AB that is equidistant to both endpoints.
The perpendicular bisector of two points A & B is the line that passes through line segment AB that is equidistant to both endpoints.
4 Steps to find Perpendicular Bisector
4 Steps to find Perpendicular Bisector
Step 1: Find the midpoint of AB.
Step 1: Find the midpoint of AB.
Step 2: Find the gradient of AB.
Step 2: Find the gradient of AB.
Step 3: Find the gradient of the perpendicular line.
Step 3: Find the gradient of the perpendicular line.
Step 4: Find the y-intercept of the perpendicular line by substituting the midpoint (Step 1) and perpendicular gradient (Step 3) into the equation
Step 4: Find the y-intercept of the perpendicular line by substituting the midpoint (Step 1) and perpendicular gradient (Step 3) into the equation
y = mx + c.
y = mx + c.