Name____________________________________________________________
Period ______
The Distance Formula
1.
On the map below, locate and label the following tourist attractions. Note that West Temple is 100 W.
Clark Planetarium
100 South 400 West
Abravanal Hall
100 West South Temple
Cathedral of the Madeleine
300 East South Temple
Gallivan Center
200 South Main Street
Energy Solutions Arena
300 West South Temple
Pioneer Memorial Museum
300 North Main Street
Gateway Megaplex
200 South 400 West
Franklin-Covey Field
100 West 1300 South
Pioneer Park
400 South 300 West
500 E
400 E
4
0
0
3
0
0
2
0
0
1
0
0
N
N
N
N
N
O
R
T
H
300 E
200 E
T
E
M
P
L
E
STATE STREET
MAIN STREET
Temple Square
W EST TEMPLE
200 W
300 W
400 W
S
O
U
T
H
1
0
0
2
0
0
3
0
0
4
0
0
5
0
0
6
0
0
7
0
0
8
0
0
9
0
0
S
S
S
S
S
S
S
S
S
1
0
0
0
1
1
0
0
1
2
0
0
1
3
0
0
S
S
S
S
T
E
M
P
L
E
500 W
2.
Draw a coordinate plan on top of your map with the intersection of West Temple and South Temple being the
origin (0, 0) of your coordinate plan. Find the distance between each of the attractions in a-e. Show all work,
including the method you are using.
a.
Pioneer Memorial Museum and Abravanal Hall
b.
Gateway Megaplex and Franklin-Covey Field
c.
Clark Planetarium and Cathedral of the Madeleine
d.
Franklin-Covey Field and Gallivan Center
e.
Pioneer Park and Pioneer Memorial Museum
3.
4.
Find the distance between each of the attractions in both feet. Assume that each block is 660 feet. Round to the
nearest foot when necessary.
a.
Pioneer Memorial Museum and Abravanal Hall
b.
Gateway Megaplex and Franklin-Covey Field
c.
Clark Planetarium and Cathedral of the Madeleine
d.
Energy Solutions Arena and Gallivan Center
e.
Pioneer Park and Pioneer Memorial Museum
You are trying to find the distance between the Northeast corner Temple Square and Pioneer Park. Let (x2, y2) be
the coordinates of Temple Square and (x1, y1) be the coordinates of the middle of Pioneer Park.
a.
Find an expression for the vertical distance between Temple Square and Pioneer Park. Hint: y-coordinates
measure vertical distance.
b.
Find an expression for the horizontal distance between Temple Square and Pioneer Park. Hint: xcoordinates measure horizontal distance.
c.
Write an expression for the distance between these two attractions (This formula should work for any two
points.)
d.
Let the intersection of West Temple and South Temple be (0, 0), verify that this formula works by using it
to find the distance between Pioneer Park and Pioneer Memorial Museum.