Question

The vertices of a rectangle are R(-5,-5),S(-1,-5), T(-1,1. and U(-5,1). After translation, R' is the point (-3,-2). What are the translation rule and coordinates of U

Answer 1

Answer:

The Translation rule is:

$(x,y)$ → $(x+2,y+3)$

The coordinates of the image of point "U":

$U'(-3,4)$

Step-by-step explanation:

Given a point "P", its translation will be:

$P(x, y)$ → $(x+a, y+b)$

After the translation of the rectangle RSTU, the point R' obtained is:

$R'(-3,-2)$

Since:

$R(-5+a,-5+b)$ → $R'(-3,-2)$

You can find the values of "a" and "b" through this procedure:

- Finding "a":

 $-5+a=-3\\\\a=-3+5\\\\a=2$

- Finding "b":

 $-5+b=-2\\\\b=-2+5\\\\b=3$

Therefore, the Translation rule is:

$(x,y)$ → $(x+2,y+3)$

Then, if the point "U" is:

$U(-5,1)$

After translation its image is:

$U(-5+2,1+3)$ → $U'(-3,4)$

Answer 2

Answer:

the answer is (x, y) → (x - 6, y - 6); (-11, -5)

Step-by-step explanation:

I just took the quiz

you're welcome :)