$(8pt)A$ rigid body contains points $A,B,$ and $C.$ Which statements can

be made with no additional information? $($Bubble all that apply$)$

Note: The notation ${}_{AB}$ refers to the angular velocity of the line

connecting point A with point $B.$ Also vec$(v_A)$ is the velocity vector of point $A.$

A: ${}_{AB}={}_{BC}$

B: vec$(v_A)=$vec$(v_B)$

$C$:vec$(v_A)=$vec$(v_C)$

$E$:vec$(v_A)$vec$(v_B)$

F$.{}_{AB}={}_{BC}$

$G$:vec$(a_A)=$vec$(a_B)$

D: ${}_{AB}{}_{BC}$

$H$:vec$(a_A)=$vec$(a_C)$

I: ${}_{AB}{}_{BC}$

$J$:vec$(a_A)$vec$(a_B)$