From personal advice to professional guidance, IDNLearn.com has the answers you seek. Discover thorough and trustworthy answers from our community of knowledgeable professionals, tailored to meet your specific needs.
The reflection of a point across a line also known as the mirror line, forms an image that is equal distance from the as the preimage
The coordinates of the image following a reflection across the line x = -1 are;
R'(-2, 3), S'(-7, 4), T'(-8, -1), and U'(-3, -2)
Reason:
Question; Square RSTU with vertices R(0, 3), S(5, 4), T(6, -1), and U(1, -2), reflected about the line x = -1
Required:
To find the coordinate of the image
The line x = -1 is parallel to the y-axis, therefore, the distances of the x-coordinates of the preimage and the image from the line x = -1 are equal,
The y-coordinates of the image ang preimage are equal
The differences of distances are;
Δx, of point R (0 - (-1)) = 1, coordinates of image = R'(-1 - 1, 3) = R'(-2, 3)
Δx of point S = (5 - (-1)) = 6, coordinates of image = S'(-1 - 6, 4) = S'(-7, 4)
Δx of point T = (6 - (-1)) = 7, coordinates of image = T'(-1 - 7, -1) = T'(-8, -1)
Δx of point U = (1 - (-1)) = 2, coordinates of image = U'(-1 - 2, -2) = U'(-3, -2)
The coordinates of the vertex of image of the square RSTU following a reflection across the line x = -1 which is the square R'S'T'U' are;
R'(-2, 3), S'(-7, 4), T'(-8, -1), and U'(-3, -2)
Learn more here:
https://brainly.com/question/21635595
https://brainly.com/question/24084604
