WILL GIVE BRAINLIEST IMMEDIATELY PLS HELP I ONLY NEED STATEMENT 7's REASON!!!
5. Consider the figure below.

Given: Parallelogram SUPN, SR ⊥ UN and MP ⊥ UN

Prove: ΔPMU ≅ ΔSRN

Complete the two-column proof below.

The two column proof is presented as follows;

Statement                                    Reason

1. Parallelogram SUPN ⊥   1. Given

and ⊥

2. ∠SRU = ∠PMN = 90°                   2. Definition of perpendicular lines

3. ∠SRU ≅ ∠PMN                             2. Definition of congruency

4. ║                                      4. Opposite sides of a parallelogram are                                                                                                           congruent

5. ∠SNR ≅ ∠PUM                           5. Alternate interior angles are congruent

6. ≅                                     6. Opposite sides of a parallelogram are                                                                                                          congruent

7. ΔPMU ≅ ΔSRN                           7. By AAS rule of congruency

By the Angle-Angle-Side (AAS) rule of congruency, we have that, if two angles and a corresponding adjacent side (∠SRU ≅ ∠PMN, ∠SNR ≅ ∠PUM, ≅ )  of two triangles (ΔPMU and ΔSRN) are congruent, then the the two triangles are also congruent (ΔPMU ≅ ΔSRN)

Step-by-step explanation:

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step-by-step explanation:

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