Question

Geometry: what is the coordinate of V’ if quadrilateral U’V’W’X’ is created by dilating UVWX with a scale factor of 1.5 about the origin. Help me solve

Answer 1

The Solution:

Given the image in the Question section, we have that the original coordinate of V is:

$V(-1,2)$

We are asked to find the coordinates of V', which is created by dilating the coordinates of the original V with a factor of 1.5

To find the coordinate of the dilated V, we shall multiply the x-value and the y-value by 1.5

$\begin{gathered} V^{\prime}(x,y)=V\lbrack(1.5\times-1),(1.5\times2)\rbrack=V^{\prime}(-1.5,3) \\ \text{ So,} \\ \text{ The required coordinates is: (-1.5,3)} \end{gathered}$

Therefore, the correct answer is (-1.5,3)