Question

!!50 POINTS!! Please answer all, don't just answer to get the points or you'll be reported. And please, do not copy from the internet.

Suppose you're going to be designing a logo for a club at your school. To prepare for this project, draw a non-rectangular shape in the coordinate plane so that portions of the shape are in each of the four quadrants. Explain what would happen to your shape if you transformed it using each of the given rules with the center of dilation at the origin.


a. (4x, 4y)


b. (0.25x, 0.25y)


c. (2x, y)


d. (3x, 3y+5)


e. (x+5, y-5)


f. (1/2x - 1, 1/2 y)


g. Will any of the transformed figures be similar to the original figure? Explain.


h. If you make a new figure by adding 2 units to the length of each side of your shape, will the two figures be similar? Why or why not?


i. Write a general rule for transformations in the plane that produce similar figures.

Answer 1

g. The shape would be similar since dilation at the origin is just a translation and a translation doesn't affect the shape's size or shape.

h. They will still be similar because adding length to each side will just make the shape larger, and if the shape hasn't changed (which it hasn't) it will remain similar.

I. This is simple, just write an equation of the changes you could do the shape and it would be similar. You would have to explain how many you should move and from which sides (should be all sides). It is better for you to do this because there are millions of possible equations, and if you use the same one then it might be striked.