Question

Describe what happens under the following translations. For example: Left 1, Up 3. Using points (3,2), (-3,-2), and (1,-4) graph the reflections using the rules. What is the line of reflection?

Answer 1

To perform the translations, apply the given rules to each point. Graph the translations on a coordinate plane and determine the line of reflection.

Step-by-step explanation:

To perform the given translations, we need to apply the given rules to each point. Let's start with the first translation: left 1, up 3. For the point (3,2), we move 1 unit to the left and 3 units up to get the new point (2,5). Similarly, for the point (-3,-2), we move 1 unit to the left and 3 units up to get the new point (-4,1). Finally, for the point (1,-4), we move 1 unit to the left and 3 units up to get the new point (0,-1).

Now, let's graph the translations on a coordinate plane. After applying the first translation, we have the points (3,2) and (2,5). After applying the second translation, we have the points (-3,-2) and (-4,1). After applying the third translation, we have the points (1,-4) and (0,-1).

The line of reflection is the line that divides each translated point and its corresponding original point in half. In this case, the line of reflection is the line connecting the points (3,2) and (2,5), which is the line y = x + 1.