In triangle $ABC,$ let the angle bisectors be $\overline{BY}$ and $\overline{CZ}$. Given $AB = 8$, $AY = 6$, and $CY = 4$, find $BC$. [asy]
pair A, B,C, X,Y, Z,I;

A= (0,0);
B = (1,0);
C = (0.8,0.7);
X = intersectionpoint(B--C , A -- (bisectorpoint(B, A,C)));
Y = intersectionpoint(A--C, B -- scale(6)*( (bisectorpoint(C, B,A)) - B));
I = intersectionpoint(A--X, B--Y);
Z = extension(A, B,C, I);
draw(A--B--C--cycle);
draw(B--Y);
draw(C--Z);
label("$A$",A, SW);
label("$B$",B, SE);
label("$C$",C, N);
label("$I$",I, SW);
label("$Y$",Y, NW);
label("$Z$",Z, S);
[/asy]

right

step-by-step explanation:

answer: the two figures are congruent.

step-by-step explanation: they're congruent because figure efgh is reflected across the x and y axis but it was also rotated.

hope it !

a 360 degree rotation

step-by-step explanation:

answer 1 : option "c"

answer 2 : option "d"

answer 3 : option "b"

answer 4 : option "d"

answer 5 : option "b"

answer 6 : option "a"

answer 7 : option "c"

answer 8 : option "d"

answer 9 : option "c"

answer 10 : option "d"

answer 11 : option "c"

answer 12 option "b"

answer 13 option "c"

answer 14 option "c"

answer 15 option "d"

answer 16 option "a"

answer 17 option "b"

answer 18 option "c"

answer 19 option "a"

answer 20 option "a"

answer 21 option "c"

d