Lines and the Coordinate Plane: The Coordinate Plane

think icon Think & Click: Distance Formula

Now, you try. Complete the Think & Click activity by looking at each problem below, thinking about it, and then clicking on the question to reveal the solution.

Find the distance of GF if G (9,1) and F (0,2).
 
GF equals square root of the quantity 9 minus 0 quantity squared plus 1 minus 2 quantity squared, GF equals square root of the quantity 9 squared plus 1 squared, GF equals square root of the quantity 81 plus 1, GF equals square root of 82 which is approximately 9.06
 
Find the distance of AG if A (4,4) and G (-1,-1).
 
AG equals square root of the quantity 4 minus negative 1 quantity squared plus 4 minus negative 1 quantity squared, AG equals square root of the quantity 4 plus 1 quantity squared plus 4 plus 1 quantity squared, AG equals square root of the quantity 5 squared plus 5 squared, AG equals square root of the quantity 25 plus 25, AG equals square root of 50 which is approximately 7.07