Find the distance between point A(2,5) and point B(8,5).
6 units
What is the midpoint between A(2,4) and B(6,10)?
(4,7)
Find the distance between point C(5,−2) and point D(5,7).
9 units
Find the midpoint between X(0,4) and Y(0,12).
(0,8)
A line starts at the origin (0,0) and ends horizontally at (9,0). What is the length of this line?
9 units
Find the distance between point P(1,2) and point Q(4,6)
5 units
Find the coordinates of the midpoint between P(−5,2) and Q(3,−6).
(-1,-2)
Calculate the distance between point A(2,3) and point B(5,7).
5 units
What is the midpoint of the line segment joining M(−2,5) and N(6,1)?
(2,3)
Find the distance between P(1,1) and Q(8,1).
7 units
Calculate the distance between point M(−3,−1) and point N(2,11).
13 units
Determine the midpoint between point R(1,3) and point S(4,8). (Answers can be in fractions or decimals).
(2.5,5.5) or (2/5,2/11)
Find the distance between point R(−4,2) and point S(2,−6).
10 units
Determine the coordinates of the midpoint between E(−3,−7) and F(4,2).
(0.5,−2.5) or (1/2,-5/2)
Calculate the distance between T(−1,−1) and U(4,11).
13 units
On a Cartesian plane, the scale on both axes is 1 cm to 2 units. If the calculated distance between two points on the grid is 5 cm, what is the actual distance?
10 units
The midpoint of line segment GH is M(3,5). If the coordinates of point G are (1,2), find the coordinates of point H.
H(5,8)
On a map's coordinate grid, the scale is 1 unit = 5 km. If the distance between two towns on the grid is calculated as 6units, what is the actual distance in km?
30 km
The midpoint of line segment AB is M(2,−1). If point A is (−2,3), find the coordinates of point B.
B(6,-5)
P(1,4) is the midpoint of line QR. If the coordinates of Q are (−3,2), what are the coordinates of R?
R(5,6)
The distance between point K(2,3) and point L(x,3) is 7 units. If point L lies on the negative side of the x-axis, what is the value of x?
x=-5
A town square is located exactly halfway between a school at (−4,6) and a hospital at (8,−2). If a police station is built at the town square, what are its coordinates?
(2,2)
The distance between A(1,y) and B(5,5) is 5 units. If point A is located in the first quadrant and y is an integer greater than 5, find the value of y.
y=8
A helicopter flies from base H(0,0) to rescue a hiker at A(6,8). It stops exactly halfway to refuel. What are the coordinates of the refueling stop, and how far did the helicopter fly in total?
(3,4)
10 units
A square has opposite corners at A(1,2) and C(7,10). Find the coordinates of the point where the square's diagonals cross each other.
(4,6)