The triangle shown in the diagram is going to be dilated by a scale factor of 1/3. what is the length of the new side that corresponds to side ab?
a) 1
b) 3
c) 9
d) 1/3

A. 1

Step-by-step explanation:

We are told that our given triangle is going to be dilated by a scale factor of 1/3. We are asked to find the length of the new side that corresponds to side AB.

First of all we will find the length of side AB using distance formula.

, where,

= Difference between two x-coordinates.

= Difference between two y-coordinates of  same x-coordinates.

Upon substituting our given values in distance formula we will get,

As new side of the given triangle will be dilated by a scale factor of 1/3, this means side of new triangle corresponding to side AB will be 1/3 of side AB.

Therefore, length of new side that corresponds to side AB is 1 unit and option A is the correct choice.