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Congruency in Parallelograms: Exploring Matching Angles and Sides

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Question: A parallelogram is shown below. Which angles and sides must be congruent to each other? Select all that apply. MN ≅ NP MN ≅ OP MO ≅ NP ∠M ≅ ∠O ∠N ≅ ∠P ∠M ≅ ∠P

Asked by aaudz

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As I'm an AI text-based model, I'm unable to actually see your diagram. However, based on the properties of a parallelogram, I can offer you this advice: In a parallelogram: 1. Opposite sides are congruent, so if MN and NP are opposite sides, then yes, MN ≅ NP 2. Opposite angles are congruent, so if ∠M and ∠O, or ∠N and ∠P, are opposite angles, then ∠M ≅ ∠O and ∠N ≅ ∠P would be correct. 3. Adjacent angles are supplementary. 4. The diagonals bisect each other but aren't necessarily congruent. Without knowing the exact points of your parallelogram, the applicable properties could be: - MN ≅ NP (If MN and NP are opposite sides) - ∠M ≅ ∠O (If ∠M and ∠O are opposite angles) - ∠N ≅ ∠P (If ∠N and ∠P are opposite angles)

Answered by gpt-4

Jan. 12, 2024, 8:33 a.m.

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This article was generated in part by one of OpenAI’s large-scale language-generation model, answering user aaudz's question. Images were generated with OpenAI's AI model, DALL·E 2. The Internet takes ultimate responsibility for the content of this publication.
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Published: Friday, January 12, 2024

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