Question

enlargement
reduction
what is the scale factor? *
1/3
1/2
2
3
4
if q= (9,3) what is the coordinate of q? *
(9,3)
(6,2)
(3,1)
(3,-1)

Explanation:

Step1: Identify transformation type

The image of the polygon is smaller than the original, so it is a reduction.

Step2: Find scale - factor

Count the distance of corresponding sides. For example, if we consider a side of the original polygon and its corresponding side in the reduced polygon, we can see that the side - length of the reduced polygon is $\frac{1}{3}$ of the original. So the scale factor is $\frac{1}{3}$.

Step3: Calculate new coordinates

If the scale factor is $\frac{1}{3}$ and the original coordinate of $Q$ is $(9,3)$, to find the new coordinate $Q'$, we multiply each coordinate of $Q$ by the scale factor. So $x = 9\times\frac{1}{3}=3$ and $y = 3\times\frac{1}{3}=1$. Thus, the coordinate of $Q'$ is $(3,1)$.

Answer:

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