Question

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?

Answer 1

The converted coordinates are (1,2), (1,1) ,(2,1) and (2,3).

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

(x,y) (-y, -x)

Because the provided figure has already been converted, we get,

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

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

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

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

Let's convert the converted coordinates back into their original form to create the original figure before the transformation.

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

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

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

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

Let's start with the original.

Answer 2

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

`(X,\text{ Y) }\rightarrow\text{ }(-Y,\text{ -X)}`

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,