Question

enlargement
reduction
what is the scale factor? * 1 point
1/3
1/2
2
3
4
if f=(3,-3) what is the coordinate of f? * 1 point
(6,-6)
(2,-2)
(1,-1)
(-1,-1)

Explanation:

Step1: Determine transformation type

The image is smaller than the pre - image, so it is a reduction.

Step2: Find scale factor

Let's consider a side - length. For example, if we look at a corresponding side of the two figures, assume the length of a side in the pre - image is 3 units and in the image is 1 unit. The scale factor $k=\frac{\text{length in image}}{\text{length in pre - image}}=\frac{1}{3}$.

Step3: Find new coordinate

If the scale factor $k = \frac{1}{3}$ and the original point $F=(3,-3)$, then the new point $F'$ has coordinates $(3\times\frac{1}{3},-3\times\frac{1}{3})=(1,-1)$ using the rule $(x,y)\to(kx,ky)$ for a dilation centered at the origin.

Answer:

1. Reduction
2. $\frac{1}{3}$
3. $(1, - 1)$