Mid-Point and Distance Applications Notes
Name: __________________________
1.
On a map’s coordinate grid, Panthersville is located
at (-3, 2) and Hornetsville is located at (4, 8). What is
the distance from Panthersville to Hornetsville?
2.
The coordinates of the vertices of a parallelogram
STUV are S(-1, 4), T(3, 0), U(4, -3), and V(0, 1). What
is the length of the diagonal TV?
3.
On a map, Julie's house is located (-11, 4)
and David's house is at (6, -7). What are the
coordinates for Rachel's home if she lives exactly
halfway between Julie and David?
4.
Triangle ABC has vertices A(7, -4), B(-1, 2), and C(5, 6). Determine whether the triangle has three, two,
or no sides that are equal in length.
5.
A football coach drew his football team’s next play
on a coordinate grid. He placed the quarterback on
(2, 5) and the receiver on (-7, 8). What distance, in
yards, will the pass be from the quarterback to his
receiver?
6.
The midpoint of AB is point M(-14, 3).
If the coordinates of A are (5, -1),
what are the coordinates of B?
Use the diagram below to answer questions 7-9.
7) Find the length of each side of the triangle.
8) Find the midpoint of each side of the triangle.
9) Join the midpoints to form a new triangle labeled DEF.
Find the length of each new side.
7)
AB _________
8)
9)
M = _________
DE _________
BC _________
M = _________
EF _________
AC _________
M = _________
FD _________
Find the midpoint between the following two points:
1) A(3, 0) and B(-9, -6)
2) A(3, 5) and B(10, -5)
Find the missing endpoint given the midpoint and one endpoint.
3) A(3, -5) and Midpoint(12, 4)
4) Midpoint(-4, 0) and B(11, -1)
You and a friend go hiking. You hike 3 miles north and 2
miles west. Starting from the same point, you friend
hikes 4 miles east and 1 mile south.
5) How are apart are you and your friend?
6) a) If you and your friend want to meet for lunch,
where could you meet so that both of you hike the
same distance?
b) How far do you have to hike?