Question

show that the polygons are congruent by identifying all the congruent corresponding parts. then complete the congruence statement.
∠j ≅ ∠ select choice ;
∠jkm ≅ ∠ select choice ;
∠kmj ≅ ∠ select choice ;
segment kj ≅ segment select choice ;
segment kl ≅ segment select choice ;

Explanation:

Step1: Analyze ∠J

In the diagram, ∠J and ∠L are right angles (since the figure appears to be a rectangle or a right - angled quadrilateral). So, ∠J ≅ ∠L.

Step2: Analyze ∠JKM

Looking at the triangles formed by the diagonal KM, ∠JKM and ∠LMK are alternate interior angles (assuming the sides are parallel as in a rectangle). So, ∠JKM ≅ ∠LMK.

Step3: Analyze ∠KMJ

∠KMJ and ∠MKL are alternate interior angles (again, due to the parallel sides in the rectangle - like figure). So, ∠KMJ ≅ ∠MKL.

Step4: Analyze segment KJ

In the rectangle - like figure, opposite sides are equal. So, segment KJ ≅ segment ML.

Step5: Analyze segment KL

In the rectangle - like figure, opposite sides are equal. So, segment KL ≅ segment JM.

Answer:

1. ∠J ≅ ∠L
2. ∠JKM ≅ ∠LMK
3. ∠KMJ ≅ ∠MKL
4. segment KJ ≅ segment ML
5. segment KL ≅ segment JM