Which equation represents the line of reflection for this graph?

How do i understand this?
https://fallriver.owschools.com/media/g_mat08_ccss_2016/7/img_coordinate_plane_reflection_7.gif

Question

Which equation represents the line of reflection for this graph?

How do i understand this?
https://fallriver.owschools.com/media/g_mat08_ccss_2016/7/img_coordinate_plane_reflection_7.gif

Gdeinward · Answer

Give me the answer choices. Here is a chart that will help with this. https://docs.google.com/document/d/1S_BlF2Q6q9QptJsLykLktyyVN8TVDo1MZO-Xyoe6Ols/edit?usp=sharing

dumbkid101 · Answer

y = -2
x = -2
x = 0
y = -1
are the answer choices

Vocaloid · Answer

they want you to find the line of reflection, or in other words, the line that you can reflect one image across to get the other image

put more simply, you can simply find the line that splits the graph evenly between the two images:

|dw:1556906911901:dw|

Vocaloid · Answer

|dw:1556906918126:dw|

see how that thick purple line can reflect one triangle onto the other triangle? any ideas how to write the equation for that line?

Gdeinward · Answer

A reflection must be the same distance from the line as its preimage. If you look at the spacing between the two triangles you can see that any coordinate with a y value of -2 is halfway between the two shapes. These infinite points that all have -2 indicate that the line of translation is y = -2.

Gdeinward · Answer

Do you understand?

Gdeinward · Answer

Ah. Vocaloid beat me to it. Hate it when after you type up your reply and you see someone answered it b4 you submitted it.

dumbkid101 · Answer

Yes I do thank :)
i did good on my quiz