Question #b7d4d
1 Answer
Explanation:
For these problems, you must understand what you are given, and what you are trying to find. This means understanding any definitions and initial information. Once that is done, it is just a matter of identifying what steps can take you from the initial information to the desired conclusion. Let's use this problem as an example.
Given: Two points
Goal: The perpendicular bisector of the line segment
To proceed, we must know what a perpendicular bisector is.
The perpendicular bisector of a line segment is a line segment, ray, or line which intersects the initial line segment at its midpoint, forming a
With that, we know we want a line which passes through the midpoint of
The midpoint of two points
Next, to find the desired slope, we can note that
Finally, we can get our line by plugging in the point it passes through and its slope into the point-slope equation of a line:
Note that when solving, in addition to the given information, we use definitions, theorems, and other properties not given to help find the solution. The more of these you have at your disposal, the more problems you can solve, and the easier they become.