Question

what is the scale factor? *
1/3
1/2
2
3
4
if v = (3,3) what is the coordinate of v? *
(3,3)
(2,2)
(1,1)
(0,0)

Explanation:

Step1: Recall scale - factor concept

The scale - factor is used to transform a figure. When the scale - factor is $k$, the coordinates of a point $(x,y)$ after dilation are $(kx,ky)$.

Step2: Assume scale - factor $k$ for second part

If the scale - factor is $k=\frac{1}{3}$ and the original point $V=(3,3)$.

Step3: Calculate new coordinates

For a point $(x,y)$ dilated by a scale - factor $k$, the new point $(x',y')=(kx,ky)$. Here, $x = 3$, $y = 3$, and $k=\frac{1}{3}$, so $x'=\frac{1}{3}\times3 = 1$ and $y'=\frac{1}{3}\times3 = 1$.

Answer:

First question: A. 1/3
Second question: C. (1,1)