1970 AMC 12 Question 20
AMC12 · 1970 AMC 12
Lines $HK$ and $BC$ lie in a plane. $M$ is the midpoint of line segment $BC,$ and $BH$ and $CK$ are perpendicular to $HK.$ Then we:
always have $MH=MK$
always have $MH\gt BK$
sometimes have $MH=MK$ but not always
always have $MH\gt MB$
always have $BH\lt BC$