Question

ΔXYZ is translated 4 units up and 3 units left to yield ΔX′Y′Z′. What is the distance between any two corresponding points on ΔXYZ and ΔX′Y′Z′ ?

Answer 1

That is found by applying the Pythagoras  Theorem. ( 4 up and 3 to left then joining the points forms a right angled triangle).

x^2 = 3^2 + 4^2 = 25

x = 5 units  (answer)