Question

enlargement
reduction
what is the scale factor? *
1 point
1/3
1/2
2
3
4
if u=(2,0) what is the coordinate of u? *
1 point
(4,0)
(6,0)
(8,0)
(10,0)

Explanation:

Step1: Determine transformation type

Observe that the image is getting larger, so it is an enlargement.

Step2: Find scale - factor

Let's assume a point on the original figure and its corresponding point on the enlarged figure. If we consider vertical or horizontal distances, say the distance from a vertex on the original to the corresponding vertex on the enlarged one. If the original length is \(l_1\) and the new length is \(l_2\), and we find that \(l_2 = 2l_1\), so the scale factor \(k = 2\).

Step3: Find new coordinate

If a point \(U=(2,0)\) and the scale factor \(k = 2\) for an enlargement centered at the origin (assuming origin - centered transformation as no other center is given), we multiply the coordinates of \(U\) by the scale factor. So \(U'=(2\times2,0\times2)=(4,0)\)

Answer:

Enlargement
2
(4,0)