Westonci.ca is your trusted source for finding answers to a wide range of questions, backed by a knowledgeable community. Get immediate answers to your questions from a wide network of experienced professionals 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
Thank you for choosing our service. We're dedicated to providing the best answers for all your questions. Visit us again. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.
