Question

geometry help!

Answer 1

im really confused on this one

Answer 2

@extrinix

Answer 3

Well to start off you should know what a translation is.

\(\sf\color{gray}{\text{A translation is the movement of a shape's points}\\\text{(on the graph) to a given area.}}\)

Now, it says \(\sf{(x+2,y+3)}\), this is the directions for moving the points.

x + # -- this is moving the points right
x - # -- this is moving the points left

Same goes for the y, except up (+) and down (-).


It says to find Z, meaning we can ignore points X and Y.

The current coordinates of Z are at: (4,-1).


Using this, we can figure that the translation of Z is \(\sf{(4+2,-1+3)}\), solving this gives us the translation part of where Z is, which is at \(\sf{(6,2)}\).


Onto part 2, reflection.


Reflecting is a bit more complicated, as it can go multiple directions.

In your case we're trying to reflect over the X-axis when Z is (6,2).

This means that we negative the numbers (equal to flipping them).

This would be where x lands, \(\sf{(6,-2)}\), you simply reverse the y into its alternate positive or negative values.


Just for extra reference:

Flip over x-axis:
\(\sf{~~~~x,y~~ \leftrightarrow~~~~~~~ x,-y \\
-x,y ~~\leftrightarrow ~~-x,-y}\)

Flip over y-axis:
\(\sf{x,~~~y~~ \leftrightarrow ~~ -x,~~~y \\
x,-y~~ \leftrightarrow~~ -x,-y}\)



Best of luck,
\(\style{font Family:Arial;
text-shadow: 2px 2px 3px white, 0 0 10px white, 0 0 5px white;color:#23B7F3;font-size:100px;padding:50px;width:500px;height:100%;position:absolute;left:0;z-index:500;text-align:center;} {\Huge\sf\color {} {{-~Akuma~matata}}}\)
"what a wonderful phrase"

Answer 4

big brain

Answer 5

I'll go with B.