Question

enlargement
reduction
what is the scale factor? *
1 point
1/3
1/2
2
3
4
if l=(0,9) what is the coordinate of l? *
1 point
(0,9)
(0,6)
(0,3)
(0,-3)

Explanation:

Step1: Identify transformation type

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

Step2: Find scale - factor

Let's consider a pair of corresponding sides. For example, if we look at the vertical distance of a point and its image. Suppose we consider the vertical distance of a point from the x - axis. If the original length of a vertical segment is 9 units and its image length is 3 units, the scale factor $k=\frac{\text{length of image}}{\text{length of original}}=\frac{3}{9}=\frac{1}{3}$.

Step3: Find coordinates of $L'$

If the scale factor $k = \frac{1}{3}$ and the original point $L=(0,9)$, to find the coordinates of the image $L'$, we multiply the y - coordinate of $L$ by the scale factor. So the y - coordinate of $L'$ is $9\times\frac{1}{3}=3$, and the x - coordinate remains 0 since there is no horizontal transformation related to the center of dilation (not given otherwise, and assuming origin - centered dilation for simplicity). So $L'=(0,3)$.

Answer:

1. Reduction
2. 1/3
3. (0, 3)