The statements below can be used to prove that the triangles are similar.

on a coordinate plane, right triangles a b c and x y z are shown. y z is 3 units long and b c is 6 units long.
startfraction a b over x y endfraction = startfraction 4 over 2 endfraction

?

startfraction a c over x z endfraction = startfraction startroot 52 endroot over startroot 13 endroot endfraction

△abc ~ △xyz by the sss similarity theorem.

which mathematical statement is missing?

startfraction y z over b c = startfraction 6 over 3 endfraction
∠b ≅ ∠y
startfraction b c over y z endfraction = startfraction 6 over 3 endfraction
∠b ≅ ∠z