At Westonci.ca, we make it easy for you to get the answers you need from a community of knowledgeable individuals. Get accurate and detailed answers to your questions from a dedicated community of experts on our Q&A platform. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.
Sagot :
The coordinates of the original point x, can be obtained by reversing the given transformations individually
The coordinates of the original point x is [tex]\underline{(0, \, 0)}[/tex]
Reason:
The type of reflection = Glide reflection
Coordinates of the image of the point x = x'(3, -2)
The translation part of the glide reflection is (x, y) → (x + 3, y)
The line of reflection is y = -1
The coordinates of the original point = Required
Solution:
- A glide reflection is also known as a transflection, that involves a symmetric composite transformation of a reflection followed by a translation along the line of reflection
Reflection part;
The distance of the image point from the reflecting line = The object's
point distance from the reflecting line
Therefore, given that the reflecting line is the line y = -1, and the image
point is x'(3, -2), we have;
Distance of image from reflecting line =-1 - (-2) = 1
∴ Distance of object point from reflecting line = 1
y-coordinate of object point = -1 + 1 = 0
Point of image of the object before reflection and after translation = (3, 0)
Translation part;
The translation of the glide reflection is (x, y) → (x + 3, y)
Therefore, the location of the object before translation is ((x + 3) - 3, y), which from the point (3, 0) gives, ;
((3) - 3, 0) → (0, 0)
The coordinates of the original point x is [tex]\underline{(0, \, 0)}[/tex]
Learn more here:
https://brainly.com/question/12890981
We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.
