Question

enlargement
reduction
what is the scale factor? *
1/3
1/2
2
3
4
if t=(1,-3) what is the coordinate of t? *
(1,-3)
(2,-6)
(3,-9)
(4,-12)

Explanation:

Step1: Identify transformation type

The image of the shape is larger than the original, so it is an enlargement.

Step2: Find scale - factor

Measure the distance between corresponding points. For example, if we consider a horizontal or vertical distance between a point on the original shape and its image. Suppose we look at a side - length. If the original side - length is 1 unit and the new side - length is 3 units, the scale factor $k$ is 3.

Step3: Find new coordinates

If the scale factor $k = 3$ and the original point $T=(1,-3)$, to find the new coordinates of $T'$, we multiply each coordinate of $T$ by the scale factor. So $x'=k\times x=3\times1 = 3$ and $y'=k\times y=3\times(- 3)=-9$. So the coordinates of $T'$ are $(3,-9)$.

Answer:

1. Enlargement
2. 3
3. (3, -9)