Question

Study the figures, figure 1 is similar to figure 2Part A : Describe a series of transformations and dilations that map figure 1 to figure 2Part 2: Describe a second series of transformations and dilations that map figure 1 to figure 2

Answer 1

In order to go from figure 1 to figure 2, there are a number of different transformations that can be selected.

First, notice that figure 2 is exactly three times as large as figure 1, therefore, there has been a dilation by a factor of three (3) that took place .

So Let's say that we do the dilation first.

Step 1: Dilation by a factor of "3" using the point (-1, -2) which is one of the vertices of the triangle, for reference. Then, the new triangle would have new coordinaes for the vertices at the points:

(-1, -2) (-1, 1) and (-6, -2)

I am making a drawing to show the change (give me a little time)

So, we see that the dilated triangle is represented by the green one in the image above.

Step 2: we are now going the "reflect the green triangle around the horizontal line y = 2 represented by the blue line . When we reflect the green triangle around that line, we obtain the orange triangle.

Step 3: we are going to do another reflection, this time a reflection around the vertical line x = 1 (noted in purple in the image above). After this, we obtain the triangle in figure 2.

So we