Question

enlargement
reduction
what is the scale factor? *
1/3
1/2
2
3
4
if g= (-4,-1) what is the coordinate of g? *
(-6, -3)
(8, 2)
(-8, -2)
(-2, -8)

Explanation:

Step1: Identify transformation type

The image of triangle GHI (triangle G'H'I') is larger than the original triangle GHI, 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 corresponding points on the pre - image and image. Let's assume we measure a side length. If the length of a side in the pre - image is \(x\) and in the image is \(y\), and we find that \(y = 2x\), so the scale factor is 2.

Step3: Find coordinates of G'

If the scale factor is \(k = 2\) and the original point \(G=(-4,-1)\), to find the coordinates of \(G'\) we multiply the coordinates of \(G\) by the scale factor. So \(G'=( - 4\times2,-1\times2)=(-8,-2)\).

Answer:

1. Enlargement
2. 2
3. (-8, -2)