Question

What is the image of (5,−2) under the transformation ry=x?

Answer 1

Answer:

(- 2, 5 )

Step-by-step explanation:

Under a reflection in the line y = x

a point (x, y ) → (y, x )

Hence

(5, - 2 ) → (- 2, 5 )

Answer 2

The transformed image of (5, -2) is (-2, 5). This transformation is called the reflection of an image.

What are the types of transformation of an image?

An image undergoes a transformation in four different ways. They are

• reflection,
• rotation,
• translation, and
• dilation.

The rules of reflection:

• The reflection of an image is given by y = x
• If the reflection is along the x-axis, then the y-coordinate is changed by its sign.
• If the reflection is along the y-axis, then the x-coordinate is changed by its sign.
• Every reflected image is the mirror image of the original image
• There is a line of reflection that also provide isometric images. So, it is also called isometric reflection.

Calculation:

Given that,

The point is (5, -2)

The transformation is given by the equation ry=x

where 'r' represents the reflection of the image

So, interchanging the coordinates

(x, y) = (y, x)

(5, -2) = (-2, 5)

Therefore, the image of (5, -2) is (-2, 5).

Learn more about the transformation of an image here:

https://brainly.com/question/3307611

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