Question

This geometry and my teacher did not teach me this please help

Answer 1

`(x, y ) \rightarrow (\boxed{(x)/(3)}, \boxed{-(y)/(3)})`

Explanation:

The image(the smaller inverted triangle) obtained from the pre-image(the larger triangle) by compressing it by a factor of -1/3(called a dilation) and then reflected across the y-axis

If you examine the two triangles you will see that

Point A(-3, -3) ==> Point X(-1, 1)

Point B(-3, 3) ==> Point Z(-1, -1)

Point C(3, -3) ==> Point Y(1, 1)

So the x coordinates and y coordinates of the image are transformed as follows:

x' = x/3

y' = - y/3