The vertices of a rectangle are R(5,-5), S(-1,-5) and U(-5,1). After a translation, R' is the point (-11, -11). find the translation rule and coordinates of U'.

Question

anonymous · Answer

@Opcode   ??? Please..

opcode · Answer

Before translation:
R$(5,-5)$
After translation:
R$-11,-11$


$$5 + x = -11$$
Solve for $x$:
$$5 + x = -11$$
$$x = -16$$
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

$$-5 + y = -11$$
Solve for $y$:
$$y = -6$$

So the rule is: $$(x,y) \implies (x - 5,~y -6)$$

Are you now able to use the rule to find the coordinates of $U'$?

anonymous · Answer

Uhm, I'm not quite sure. Thank you for your help, by the way. I'm super thankful.

opcode · Answer

$$U' <-5,-6>$$
Meaning:
$$U'(-5,1) \implies \text{each x and y value goes five towards the left and six down.}$$

I do not have graph paper to draw it out but you should be able to understand that, if you don't just ask.

anonymous · Answer

Okay...I'm still confused on what exactly my answer would be though, I'm so sorry.

opcode · Answer

The point $U$ is at $(-5,1)$.
According to the rule this point should be translated by:
Moving five towards the left and six down.

So the final translation point would be: $(-10,-5)$

anonymous · Answer

Oh, thank you. Got it.

opcode · Answer

No problem, glad to help. :-)