When you have two congruent figures, the vertices are listed in the same order. This means that
Side LM ≅ Side QR, Side MN ≅ Side RS, etc. The same applies for the angles.
Therefore, Side LM ≅ Side QR and Angle MNO ≅ Angle RST.
The complete statements are Side LM is congruent to the side QR and angle ∠MNO is congruent to angle ∠RST.
The two quadrilaterals whose angles and sides of one quadrilateral are the same as the corresponding angles and sides of another quadrilateral then two quadrilaterals are congruent to each other.
The order of the lettering for congruent parts should place the lettering for corresponding parts in the same order.
Given in the question that the quadrilateral LMNO and QRST are congruent.
LMNO ≅ QRST
As we know Congruent Parts of the congruent Figures are also congruent, we have;
side LM is congruent to side QR.
side MN is congruent to side RS.
side NO is congruent to side ST.
side OL is congruent to side TQ.
Similarly, for the corresponding angles of the quadrilaterals, we have;
angle ∠MNO is congruent to angle ∠RST.
angle ∠NOL is congruent to angle ∠STQ.
angle ∠OLM is congruent to angle ∠TQR.
angle ∠LMN is congruent to angle ∠QRS.
Therefore, Side LM is congruent to the side QR and angle ∠MNO is congruent to angle ∠RST.
Learn more about Congruent quadrilateral
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