Question

how would you create the dilation of this figure with a scale factor of 2?
dont do anything
multiply only the x - coordinates by 2.
multiply each ordered pair (x and y) by two.
rewatch

Explanation:

Step1: Recall dilation rule

In a dilation with a scale factor \(k\) centered at the origin, for a point \((x,y)\) the new - point \((x',y')\) is given by \((x',y')=(k\cdot x,k\cdot y)\). Here \(k = 2\).

Step2: Analyze options

The first option "Don't do anything" is incorrect as a dilation requires a transformation. Multiplying only the \(x\) - coordinates by 2 is incorrect as both \(x\) and \(y\) coordinates need to be scaled. Multiplying each ordered pair \((x,y)\) by 2 is the correct way to perform a dilation with a scale factor of 2 centered at the origin.

Answer:

Multiply each ordered pair (x and y) by two.