Which of the following is an arithmetic sequence?
1 answer:
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Answer:
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:
