Given: rstu is a parallelogram. sx = rx st ux

SX is equal to UX

US and Rt are the lines which make the center of the parallelogram. Hence the center of both lines is X so both the lines must be present at the same distance from the mid point. US is divided in two equal parts on point X and we know that center point is always equidistant from the end points. X must be equidistant from both UX and SX so we can say that SX = UX.

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.