Write a description of the rule (x, y) --> (x - 3,y + 1)
a) translation 3 units to the left and 1 unit down
b) translation 3 units to the right and 1 unit up
c) translation 3 units to the right and 1 unit down
d) translation 3 units to the left and 1 unit up

< 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)

the answer to your question is c.)   volcanoes built the mountains and earthquakes tore them down.

step-by-step explanation: