Answered

Discover a world of knowledge at Westonci.ca, where experts and enthusiasts come together to answer your questions. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

What is the image point of (5,-6)(5,−6) after the transformation r_{\text{y-axis}}\circ T_{-4,0}r
y-axis
​
∘T
−4,0
​
?

Sagot :

xero099

The image point of P(x,y) = (5, -6) after applying a horizontal reflection is P'(x,y) = (1, -6).

How to apply a rigid transformation in a point on a Cartesian plane

In geometry, a rigid transformation is a transformation applied onto a geometric object such that Euclidean distance in every point of it is conserved. Translations are examples of rigid transformations and are defined by this formula:

P'(x,y) = P(x,y) + T(x,y)   (1)

Where:

  • P(x,y) - Original point
  • T(x,y) - Translation vector
  • P'(x,y) - Image point

If we know that P(x,y) = (5, -6) and T(x,y) = (-4, 0), then the image point is:

P'(x,y) = (5, -6) + (-4, 0)

P'(x,y) = (1, -6)

The image point of P(x,y) = (5, -6) after applying a horizontal reflection is P'(x,y) = (1, -6). [tex]\blacksquare[/tex]

Remark

Statement is incorrect and poorly formatted. Correct form is shown below:

What is the image point of (x, y) = (5, -6) after the transformation of translating horizontally the point -4 units to the y-axis?

To learn more on rigid transformations, we kindly invite to check this verified question: https://brainly.com/question/1761538

Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.