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Given: ABCD is a parallelogram Prove ABCD and BCDA
Angler hagmento Triangles

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Final answer:

To prove that the triangles ABCD and BCDAAngler hagmento are congruent, we can use the properties of a parallelogram. Opposite sides of a parallelogram are parallel and equal in length, and opposite angles are congruent.

Step-by-step explanation:

To prove that the triangles ABCD and BCDAAngler hagmento are congruent, we need to show that they have the same size and shape. Since ABCD is a parallelogram, opposite sides are parallel and equal in length. This means that AB = CD and AD = BC.

Furthermore, we can prove that the angles in the two triangles are congruent. The opposite angles of a parallelogram are equal, so angles A and B in triangle ABCD are congruent to the angles of triangle BCDAAngler hagmento. Therefore, the triangles are congruent by the Side-Angle-Side (SAS) congruence criterion.

Therefore, we have proven that triangles ABCD and BCDAAngler hagmento are congruent.

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