A figure is reflected over the line y = -x to give the image below. Complete on the blank grid the position of the original figure before the transformation?

A figure is reflected over the line y x to give the image below Complete on the blank grid the position of the original figure before the transformation class=

Respuesta :

To make a transformation by reflection over the line y = -x, we switch our x and y, and make both negative.

[tex](X,\text{ Y) }\rightarrow\text{ }(-Y,\text{ -X)}[/tex]

Since the given figure was already transformed one, we get,

A' = (-Y, - X) = (1,2)

B' = (-Y, - X) = (1,1)

C' = (-Y, - X) = (2,1)

D' = (-Y, - X) = (2,3)

To make the original figure before the transformation, let's convert the transformed coordinates into the original form.

A = (X, Y) = (-2, -1)

B = (X, Y) = (-1, -1)

C = (X, Y) = (-1, -2)

D = (X, Y) = (-3. -2)

Let's now plot the original one,

Ver imagen AdasynB560501
Ver imagen AdasynB560501