Question

a builder adds house A to her plane first with vertices at (-1,1), (-5, 1), (-5, 7), and (-1,7). Then she moves it so the vertices are at (6,2), 2,2), (2,8), and (6,8).

(x,y) --> (x,y)
what are the x and y please thank you

Answer 1

we can conclude that the translation in this case is:

(x, y) --->(x + 7, y + 1)

How to identify the translation?

Remember that for a random point (x, y), a translation is defined as:

(x,y) --> (x + a ,y + b)

To identify the translation we need to get the difference between the coordinates of correspondent vertices after and before the translation.

The original vertices are:

• (-1,1)
• (-5, 1)
• (-5, 7)
• (-1,7)

The translated vertices are:

• (6,2)
• (2,2)
• (2,8)
• (6,8).

The difference gives:

• (6, 2) - (-1,1) = (7, 1)
• (2, 2) -  (-5, 1) = (7, 1)
• (2, 8) - (-5, 7) = (7, 1)
• (6, 7) -  (-1,7) = (7, 1)

Then we can conclude that the translation in this case is:

(x, y) --->(x + 7, y + 1)

If you want to learn more about translations:

https://brainly.com/question/24850937

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