The image of the point ( 7 , − 5 ) (7,−5) under a translation is ( 9 , − 2 ) (9,−2). Find the coordinates of the image of the point ( 8 , 6 ) (8,6) under the same translation

step-by-step explanation:

what grade level is this? need to know so i can look in my old textbooks!

it would open into a square depending on the type of envelope i’m not sure about the second part

< xcy ≅ < xby

step-by-step explanation:

in δcax and δbax,

so, δcax ≅ δbax (side-angle-side or sas)

since δcax ≅ δbax, we can conclude < acx ≅ < abx

in δacy and δaby,

so, δacy ≅ δaby (side-angle-side or sas)

since δacy ≅ δaby, we can conclude < acy ≅ < aby

now,

< acy ≅ < aby

=> < acx + < xcy ≅ < abx + < xby

=> < acx + < xcy ≅ < acx + < xby   (since < acx ≅ < abx already proved above)

subtracting < acx from both sides, we get

< acx + < xcy -< acx ≅ < acx + < xby -< acx

cancelling out < acx and -< acx from both sides, we get

< xcy ≅ < xby (proved)