Question

1. in a new translation, the image of v is z. find at least 3 other points that are taken to a labeled point by the new translation.

Explanation:

Step1: Recall translation concept

In a translation, every point of the pre - image is moved the same distance and in the same direction. If the image of point V is Z, we can find other points' images by applying the same translation vector.

Step2: Analyze the given points

Let's assume we know the relative positions of points A, B, C, D, E, F, G with respect to point V. If we consider the translation from V to Z, we can find the images of other points. For example, if point A is a certain number of units to the left and up from V, we move point A the same number of units to the left and up to find its image. Let's say the translation vector from V to Z has a horizontal component \(h\) and a vertical component \(v\). If point B has coordinates \((x_B,y_B)\) relative to V, its image \(B'\) will have coordinates \((x_B + h,y_B + v)\) relative to the original position of B.

Step3: Identify 3 points

Suppose after applying the translation vector from V to Z, we find that the images of points A, B, C are the new points we are looking for.

Answer:

The images of three other points (for example, A, B, C depending on the actual relative positions in the figure) are the points that are taken to their new labeled positions by the new translation.