Question

WILL GIVE BRAINLIEST IMMEDIATELY!!! INSTANT BRAINLY!! PLS HELP

Answer 1

Answer:

The two column proof is presented as follows;

Statement                   ${}$                  Reason

1. Parallelogram SUPN $\overline {SR}$⊥ $\overline {UN}$ ${}$   1. Given

and $\overline {MP}$⊥ $\overline {UN}$

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

3. ∠SRU ≅ ∠PMN            ${}$                 2. Definition of congruency

4. $\overline {UP}$ ║ $\overline {SN}$                      ${}$                4. Opposite sides of a parallelogram are                                            ${}$                                                               congruent

5. ∠SNR ≅ ∠PUM             ${}$               5. Alternate interior angles are congruent

6. $\overline {UP}$ ≅ $\overline {SN}$                      ${}$               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, $\overline {UP}$ ≅ $\overline {SN}$)  of two triangles (ΔPMU and ΔSRN) are congruent, then the the two triangles are also congruent (ΔPMU ≅ ΔSRN)

Step-by-step explanation: