Answer
a) PR = 2.43 units
b) RQ = 1.91 units
c) PS = 6.65 units
d) QS = 4.22 units
Step-by-step explanation
The question wants us to find the distances between the given points just from the information on the coordinates of those points given.
One thing to note is that to find the distances between two points on the same line, A and B is usually given as
AB = (Coordinates of B) - (Coordinates of A)
So,
a) PR = (Coordinates of R) - (Coordinates of P)
= -1.35 - (-3.78)
= -1.35 + 3.78
= 2.43 units
b) RQ = (Coordinates of Q) - (Coordinates of R)
= 0.56 - (-1.35)
= 0.56 + 1.35
= 1.91 units
c) PS = (Coordinates of S) - (Coordinates of P)
= 2.87 - (-3.78)
= 2.87 + 3.78
= 6.65 units
d) QS = (Coordinates of S) - (Coordinates of Q)
= 2.87 - (-1.35)
= 2.87 + 1.35
= 4.22 units
Hope this Helps!!!