Question

1

1. Triangle ABC was dilated with the origin as the center of
dilation to create
아아하하
2
1
Which rule best represents the dilation that was applied to
Triangle ABC to create 4BC'?
A (Xy) - (x + 2 y + 2) C. (x, y) - (2x2)
B. (x, y) = (x-2y + 2) D. (x, y) - (x %
Y)
ОА
OD

Answer 1

f=A%27(-0.25%2C0.75)%5C%5C%5C%5CB%27(1.75%2C-0.25)%5C%5C%5C%5CC%27(-1%2C-0.25)

Explanation:

A Dilation is defined as a transformation in which the image and the pre-image have the same shape, but their sizes are different.

When the scale factor is greater than 1, the image obtained after the dilation is greater than the pre-image and it is an "Enlargement".

When the scale factor is is between 0 and 1, the image obtained after the dilation is smaller than the pre-image and it is an "Reduction".

In this case you know that the triangle ABC was dilated by this scale factor:

With the origin as the center of dilation.

Since:

It is a Reduction.

You can identify that the vertices of the triangle ABC are:

So you need to multiply the coordinates of each vertex of the triangle ABC by , in order to get the coordinates of the triangle A'B'C. Then, you get: