Question

The red figure is similar to the blue figure. Describe a similarity transformation between the figure.

Answer 1

Step 1: Find the scale factor of figure.

Given, figure

Since, we know that scale factor $=\frac{sizeofimage}{sideoftheoriginalfigure}$

So, size of image is $4$ and side of the original figure is $2$.

Then, scale factor $=\frac{4}{2}=2$

Step 2: Find the similarity of figure.

From the given figures we can see that for getting blue figure from the red one we have to do following transformation:

1. First rotate the red figure $90°$ anticlockwise because the red figure is in the first quadrant and the blue figure is in the second quadrant.
2. Then, dilate the image obtained after the rotation by the scale factor of $2$ because the blue figure is double the size of the red figure.

Step 3: Final answer.

Hence, the required similarity for the transformation of figure.