Distance, Midpoint, Other Endpoint on a Coordinate Plane Activity
DISTANCE OF A SEGMENT ON A COORDINATE PLANE
[b]The Distance Formula:[/b] The distance between points (x[sub]1,[/sub]y[sub]1[/sub]) and (x[sub]2[/sub],y[sub]2[/sub]) is given by the formula [math]d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-x_2\right)^2}[/math] Note: This is really the Pythagorean Theorem in a different form.
[list=1][*]Plot the points (0,0) and (-4,3).[/*][*]Connect the points using the line segment.[/*][/list]
To find the midpoint of a segment on a coordinate plane, find the average of your x and the average of your y values.[br][math]\left(x_m,y_m\right)=\left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right)[/math]
[list=1][*]Plot the points (-1,-3) and (3, 2).[/*][*]Connect the points with a segment and find the midpoint.[/*][/list]
What were the coordinates of the midpoint you calculated above?
[list=1][*]Plot the points A(-3, -1) and M(-1,2). [/*][*]Connect the points with a segment and find the midpoint.[/*][*]Find the coordinates of the missing endpoint if M is the midpoint of AB.[/*][/list]