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Answer :
Final Answer
The triangles MJK and KLM are congruent in the parallelogram.
Explanation
In a parallelogram, opposite sides are equal in length, and opposite angles are congruent.
Since M and K are opposite vertices of the parallelogram, MK is one of its sides, and since J and L are also opposite vertices, JL is another side.
Now, let's consider triangles MJK and KLM.
Both triangles share the side MK, and we know that opposite sides in a parallelogram are equal. Therefore, MK = MK, making the first pair of sides equal.
Additionally, since opposite angles in a parallelogram are congruent, angle JMK is congruent to angle LKM.
With MK = MK and angle JMK = angle LKM, by the Side-Angle-Side (SAS) congruence criterion, triangles MJK and KLM are congruent.
Congruence criteria for triangles, including SSS, SAS, ASA, and more, help determine when two triangles are congruent.
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