AABC ~ DEF. What sequence of transformations will move AABC onto ADEF? C(-4.6)
6
5
4
3
2
B(-4, 2) A(-2, 2)
-5 4 3 2 1 1 2 3 4
-1
D(-1,-1)
F(-3,-2) -2
-3
E(-1,-2)
A. A dilation by a scale factor of 2, centered at the origin, followed by
a 90° clockwise rotation about the origin
O B. A dilation by a scale factor of 2, centered at the origin, followed by
a reflection over the yaxis
O C. A dilation by a scale factor of 3, centered at the origin, followed by
a 270° clockwise rotation about the origin
O D. A dilation by a scale factor of , centered at the origin, followed by
the translation (x, y) = (x+4, y = 2)

C

Step-by-step explanation:

A dilation of 1/2 will get you to your points but the main thing is that a rotation of 270 degrees will put you into the exact spot in the third quadrant. Basically, just choose C I'm pretty sure that is correct.

< 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)

inverse operation of addition