Respuesta :

Answer:

The length of AA' = √29 = 5.39

Step-by-step explanation:

* Lets revise how to find the length of a line joining between

 any two points in the coordinates system

- If point A is (x1 , y1) and point B is (x2 , y2)

- The length of AB segment √[(x2 - x1)² + (y2 - y1)²]

* Lets use this rule to solve the problem

∵ Point A is (0 , 0)

∵ Point A' = (5 , 2)

∵ (x2 - x1)² = (5 - 0)² = 5² = 25

∵ (y2 - y1)² = (2 - 0)² = 2² = 4

∴ The length of AA' = √(25 + 4) = √29 = 5.39