Answered

Get the answers you need at Westonci.ca, where our expert community is always ready to help with accurate information. Explore thousands of questions and answers from knowledgeable experts in various fields 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.

6. Square RSTU with vertices R(0, 3), S(5, 4),

T(6,-1), and U(1, -2) in the line x = -1.

x

R'L

S' U-

T-2)

U'

Sagot :

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

View image oeerivona
Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.