Geometry

[vampirewitchreine]

I'm working on glide reflections and translations, and I just wanted to know if I have the reflection as y=-x, would this mean that all x coordinates that are already negative become positive and make the y coordinate become negative, or would you leave the y alone?

Problem:
Sketch the image of the triangle with the given vertices after a glide reflection using the given translation and reflection. (I'm leaving off my sketch because I figure it's kind of unnecessary to my question)
A(-3,3), B(1,3), C(-1,0); (a,b) --> (a-2,b) [A(-5,3), B(-1,3), C(-3,0)]; reflection: y=-x

 

[pka]

Problem:
Sketch the image of the triangle with the given vertices after a glide reflection using the given translation and reflection. (I'm leaving off my sketch because I figure it's kind of unnecessary to my question)
A(-3,3), B(1,3), C(-1,0); (a,b) --> (a-2,b) [A(-5,3), B(-1,3), C(-3,0)]; reflection: y=-x

I am not clear on what your are really asking.
But the following transformation is a reflection about $\displaystyle y=-x$:
$\displaystyle \dbinom{x'=-y}{y'=-x}$.

So the reflection of $\displaystyle (4,-3)$ is $\displaystyle (x'=3,y'=-4)$.

Is that what you mean?

 

[soroban]

Hello, vampirewitchreine!

I'm working on glide reflections and translations,
and I just wanted to know if I have the reflection as y=-x.
Would this mean that all x coordinates that are already negative become positive
and make the y coordinate become negative, or would you leave the y alone?
. . I don't follow you . . . sorry.

Sketch the image of the triangle with the given vertices
after a glide reflection, using the given translation and reflection.

$\displaystyle A(\text{-}3,3),\;B(1,3),\;C(\text{-}1,0);\;(a,b) \to (a-2,b)$

. . A(5,3), B(-1,3), C(-3,0) . Correct!

Reflection: . $\displaystyle y = -x$

For the reflection across $\displaystyle y = -x$:
. . interchange $\displaystyle x$ and $\displaystyle y$ . . . and change their signs.

For example: .$\displaystyle (5,\text{-}4) \to (4,\text{-}5)$

 

[srmichael]

Vampire, I just wanna say how awesome it is that you always have work to show on a question you have. You are a model "question-asker"

Lately, it seems that many people have simply wanted us to do their problem without any effort on their part.

 

[Deleted member 4993]

These people all aim for "Burger Flippers" as career !

They do have a choice of career - what about "pizza-twirllers"??

 

[soroban]

I've told my students that they don't need Algebra to make a living.

If all you need is some pocket money for CDs and video games
. . (and you plan to live at home for the next twenty years),
. . I can give you all the skills for such a job.

Repeat after me: "Ya want fries with that?"

If that's too challenging, "Paper or plastic?"

 

[vampirewitchreine]

I've told my students that they don't need Algebra to make a living.

If all you need is some pocket money for CDs and video games
. . (and you plan to live at home for the next twenty years),
. . I can give you all the skills for such a job.

Repeat after me: "Ya want fries with that?"

If that's too challenging, "Paper or plastic?"

So I guess all this means that no one aspires to work at Subway? At least you'd get better food choices