A. Our diagram have six location: my house (2,1), a movie theater (5,3), the school (6,6), the police station (3,-2), the airport (-3,3), and the mall (-2,-3)
B. Distance between my house and the movie theater:
To calculate the distance we are going to use the points (2,1) and (5,3) to create a right triangle with tow legs of measures 3 and 2; the hypotenuse of the right triangle will be the distance between my house and the movie theater.
Using the Pythagorean theorem:




We can conclude that the distance between my house and the movie theater is

Our second distance is the distance between the police station and the airport:
This time we are using the points (3,-2) and (-3,3) to create a right triangle with legs of measures 6 and 5; the hypotenuse of our triangle will be the the distance between our points:




We can conclude that the distance between the police station and the airport is
C. Distance form the park to the Fire Station:




We can conclude that the distance from the park to the Fire Station is

Distance from the stadium to the mall:




We can conclude that the distance from the stadium to the mall is
D. What is the distance between your house and the mall?
Answer:





We can conclude that the distance between my house and the mall is

What is the distance between the movie theater and the school?
answer:




We can conclude that the distance between the movie theater and the school is