Question

Point A is located at (?5, 2) on a coordinate grid. Point A is translated 1 unit to the left and 5 units down to create point A'. Which measurement is closest to the distance between point A and point A' in units? A) 4.7 units B) 4.9 units C) 5.1 units D) 5.3 units

Answer 1

ANSWER

C) 5.1 units

Step-by-step explanation

The coordinates of A are (5,2).


If this point is translated 1 unit to the left and 5 units down to create point A'.

Then A' has coordinates


`A(5,2)\rightarrow \: A'(5-1,2-5)`



`A(5,2)\rightarrow \: A'(4, - 3)`



The distance between A and A' is calculated using the distance formula,


`|AA'| = \sqrt{ {(5 - 4)}^(2) + {(2 - - 3}^(2) }`



`|AA'| = \sqrt{ {(1)}^(2) + {(5)}^(2) }`



`|AA'| = √( 26)`



`|AA'| = 5.099`

We round to the nearest tenth to obtain,


`|AA'| =5.1 \: units`


The measurement that is closed to the distance is 5.1 units