Which sequences of transformations applied to shape i prove that shape i is similar to shape ii?
a translation 12 units right and 5 units up, and then a dilation by a scale factor of 2
a reflection across the x-axis and then across the y-axis, and then a dilation by a scale factor of 2
a 180° counterclockwise rotation about the origin, and then a dilation by a scale factor of 2
a reflection across the y-axis, and then dilation by a scale factor of 2
a reflection across the x-axis m, and then a dilation by a scale factor of 2

it 2

step-by-step explanation:

8^1/3=2

dhhghghghhrhbb it 5

d

step-by-step explanation:

< 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)